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Finding the Third Proportional to 387,811,649 and 829,371,010

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Solution

The third proportional to 387,811,649 and 829,371,010 is: 1,773,686,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,811,649 : 829,371,010 = 829,371,010 : x
  2. Step 2: Convert to fraction form
    387,811,649/829,371,010 = 829,371,010/x
  3. Step 3: Cross multiply
    387,811,649x = 829,371,010 × 829,371,010
  4. Step 4: Simplify right side
    387,811,649x = 687,856,272,228,420,096
  5. Step 5: Solve for x
    x = 687,856,272,228,420,096/387,811,649
  6. Step 6: Final answer
    x = 1,773,686,463.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.