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Finding the Third Proportional to 68,487,624 and 142,643,984

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Solution

The third proportional to 68,487,624 and 142,643,984 is: 297,094,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,487,624 : 142,643,984 = 142,643,984 : x
  2. Step 2: Convert to fraction form
    68,487,624/142,643,984 = 142,643,984/x
  3. Step 3: Cross multiply
    68,487,624x = 142,643,984 × 142,643,984
  4. Step 4: Simplify right side
    68,487,624x = 20,347,306,171,392,256
  5. Step 5: Solve for x
    x = 20,347,306,171,392,256/68,487,624
  6. Step 6: Final answer
    x = 297,094,642.55

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.