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Finding the Third Proportional to 556,276,050 and 1,158,331,281

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Solution

The third proportional to 556,276,050 and 1,158,331,281 is: 2,411,988,358.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,276,050 : 1,158,331,281 = 1,158,331,281 : x
  2. Step 2: Convert to fraction form
    556,276,050/1,158,331,281 = 1,158,331,281/x
  3. Step 3: Cross multiply
    556,276,050x = 1,158,331,281 × 1,158,331,281
  4. Step 4: Simplify right side
    556,276,050x = 1,341,731,356,543,100,928
  5. Step 5: Solve for x
    x = 1,341,731,356,543,100,928/556,276,050
  6. Step 6: Final answer
    x = 2,411,988,358.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.