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Finding the Third Proportional to 714,515,462 and 1,547,761,278.50

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Solution

The third proportional to 714,515,462 and 1,547,761,278.50 is: 3,352,712,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,515,462 : 1,547,761,278.50 = 1,547,761,278.50 : x
  2. Step 2: Convert to fraction form
    714,515,462/1,547,761,278.50 = 1,547,761,278.50/x
  3. Step 3: Cross multiply
    714,515,462x = 1,547,761,278.50 × 1,547,761,278.50
  4. Step 4: Simplify right side
    714,515,462x = 2,395,564,975,223,954,432
  5. Step 5: Solve for x
    x = 2,395,564,975,223,954,432/714,515,462
  6. Step 6: Final answer
    x = 3,352,712,576.04

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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.