Home / 1,500,406,142,816.70-2,024,400,146,903.10

Finding the Third Proportional to 1,500,406,142,816.70 and 2,024,400,146,903.10

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Solution

The third proportional to 1,500,406,142,816.70 and 2,024,400,146,903.10 is: 2,731,391,079,943.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500,406,142,816.70 : 2,024,400,146,903.10 = 2,024,400,146,903.10 : x
  2. Step 2: Convert to fraction form
    1,500,406,142,816.70/2,024,400,146,903.10 = 2,024,400,146,903.10/x
  3. Step 3: Cross multiply
    1,500,406,142,816.70x = 2,024,400,146,903.10 × 2,024,400,146,903.10
  4. Step 4: Simplify right side
    1,500,406,142,816.70x = 4,098,195,954,781,293,035,651,072
  5. Step 5: Solve for x
    x = 4,098,195,954,781,293,035,651,072/1,500,406,142,816.70
  6. Step 6: Final answer
    x = 2,731,391,079,943.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.