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Finding the Third Proportional to 714,515,457 and 1,547,761,270.88

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Solution

The third proportional to 714,515,457 and 1,547,761,270.88 is: 3,352,712,566.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,515,457 : 1,547,761,270.88 = 1,547,761,270.88 : x
  2. Step 2: Convert to fraction form
    714,515,457/1,547,761,270.88 = 1,547,761,270.88/x
  3. Step 3: Cross multiply
    714,515,457x = 1,547,761,270.88 × 1,547,761,270.88
  4. Step 4: Simplify right side
    714,515,457x = 2,395,564,951,620,595,200
  5. Step 5: Solve for x
    x = 2,395,564,951,620,595,200/714,515,457
  6. Step 6: Final answer
    x = 3,352,712,566.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.