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Finding the Third Proportional to 676,694,493 and 1,076,753,941.66

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Solution

The third proportional to 676,694,493 and 1,076,753,941.66 is: 1,713,327,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,694,493 : 1,076,753,941.66 = 1,076,753,941.66 : x
  2. Step 2: Convert to fraction form
    676,694,493/1,076,753,941.66 = 1,076,753,941.66/x
  3. Step 3: Cross multiply
    676,694,493x = 1,076,753,941.66 × 1,076,753,941.66
  4. Step 4: Simplify right side
    676,694,493x = 1,159,399,050,889,175,808
  5. Step 5: Solve for x
    x = 1,159,399,050,889,175,808/676,694,493
  6. Step 6: Final answer
    x = 1,713,327,155.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.