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Finding the Third Proportional to 695,564,264.81 and 1,500,087,454.88

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Solution

The third proportional to 695,564,264.81 and 1,500,087,454.88 is: 3,235,160,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,564,264.81 : 1,500,087,454.88 = 1,500,087,454.88 : x
  2. Step 2: Convert to fraction form
    695,564,264.81/1,500,087,454.88 = 1,500,087,454.88/x
  3. Step 3: Cross multiply
    695,564,264.81x = 1,500,087,454.88 × 1,500,087,454.88
  4. Step 4: Simplify right side
    695,564,264.81x = 2,250,262,372,273,355,264
  5. Step 5: Solve for x
    x = 2,250,262,372,273,355,264/695,564,264.81
  6. Step 6: Final answer
    x = 3,235,160,985.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.