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Finding the Third Proportional to 1,480,500,870 and 2,299,819,753.50

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Solution

The third proportional to 1,480,500,870 and 2,299,819,753.50 is: 3,572,555,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480,500,870 : 2,299,819,753.50 = 2,299,819,753.50 : x
  2. Step 2: Convert to fraction form
    1,480,500,870/2,299,819,753.50 = 2,299,819,753.50/x
  3. Step 3: Cross multiply
    1,480,500,870x = 2,299,819,753.50 × 2,299,819,753.50
  4. Step 4: Simplify right side
    1,480,500,870x = 5,289,170,898,588,801,024
  5. Step 5: Solve for x
    x = 5,289,170,898,588,801,024/1,480,500,870
  6. Step 6: Final answer
    x = 3,572,555,076.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.