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Finding the Third Proportional to 687,754,878 and 1,510,621,012

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Solution

The third proportional to 687,754,878 and 1,510,621,012 is: 3,318,007,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,754,878 : 1,510,621,012 = 1,510,621,012 : x
  2. Step 2: Convert to fraction form
    687,754,878/1,510,621,012 = 1,510,621,012/x
  3. Step 3: Cross multiply
    687,754,878x = 1,510,621,012 × 1,510,621,012
  4. Step 4: Simplify right side
    687,754,878x = 2,281,975,841,895,904,256
  5. Step 5: Solve for x
    x = 2,281,975,841,895,904,256/687,754,878
  6. Step 6: Final answer
    x = 3,318,007,497.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.