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Finding the Third Proportional to 676,694,472.75 and 1,076,753,911.50

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Solution

The third proportional to 676,694,472.75 and 1,076,753,911.50 is: 1,713,327,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,694,472.75 : 1,076,753,911.50 = 1,076,753,911.50 : x
  2. Step 2: Convert to fraction form
    676,694,472.75/1,076,753,911.50 = 1,076,753,911.50/x
  3. Step 3: Cross multiply
    676,694,472.75x = 1,076,753,911.50 × 1,076,753,911.50
  4. Step 4: Simplify right side
    676,694,472.75x = 1,159,398,985,930,549,760
  5. Step 5: Solve for x
    x = 1,159,398,985,930,549,760/676,694,472.75
  6. Step 6: Final answer
    x = 1,713,327,110.86

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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.