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Finding the Third Proportional to 389,797,697 and 866,748,006

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Solution

The third proportional to 389,797,697 and 866,748,006 is: 1,927,287,184.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,797,697 : 866,748,006 = 866,748,006 : x
  2. Step 2: Convert to fraction form
    389,797,697/866,748,006 = 866,748,006/x
  3. Step 3: Cross multiply
    389,797,697x = 866,748,006 × 866,748,006
  4. Step 4: Simplify right side
    389,797,697x = 751,252,105,904,976,000
  5. Step 5: Solve for x
    x = 751,252,105,904,976,000/389,797,697
  6. Step 6: Final answer
    x = 1,927,287,184.32

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.