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Finding the Third Proportional to 1,328,564,363 and 2,854,291,951

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Solution

The third proportional to 1,328,564,363 and 2,854,291,951 is: 6,132,170,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328,564,363 : 2,854,291,951 = 2,854,291,951 : x
  2. Step 2: Convert to fraction form
    1,328,564,363/2,854,291,951 = 2,854,291,951/x
  3. Step 3: Cross multiply
    1,328,564,363x = 2,854,291,951 × 2,854,291,951
  4. Step 4: Simplify right side
    1,328,564,363x = 8,146,982,541,543,386,112
  5. Step 5: Solve for x
    x = 8,146,982,541,543,386,112/1,328,564,363
  6. Step 6: Final answer
    x = 6,132,170,008.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.