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Finding the Third Proportional to 309,139,767 and 666,705,727

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Solution

The third proportional to 309,139,767 and 666,705,727 is: 1,437,849,716.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,767 : 666,705,727 = 666,705,727 : x
  2. Step 2: Convert to fraction form
    309,139,767/666,705,727 = 666,705,727/x
  3. Step 3: Cross multiply
    309,139,767x = 666,705,727 × 666,705,727
  4. Step 4: Simplify right side
    309,139,767x = 444,496,526,414,598,528
  5. Step 5: Solve for x
    x = 444,496,526,414,598,528/309,139,767
  6. Step 6: Final answer
    x = 1,437,849,716.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.