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Finding the Third Proportional to 714,515,447.34 and 1,547,761,249.69

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Solution

The third proportional to 714,515,447.34 and 1,547,761,249.69 is: 3,352,712,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,515,447.34 : 1,547,761,249.69 = 1,547,761,249.69 : x
  2. Step 2: Convert to fraction form
    714,515,447.34/1,547,761,249.69 = 1,547,761,249.69/x
  3. Step 3: Cross multiply
    714,515,447.34x = 1,547,761,249.69 × 1,547,761,249.69
  4. Step 4: Simplify right side
    714,515,447.34x = 2,395,564,886,034,211,840
  5. Step 5: Solve for x
    x = 2,395,564,886,034,211,840/714,515,447.34
  6. Step 6: Final answer
    x = 3,352,712,519.99

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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.