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Finding the Third Proportional to 704,257,911,527 and 1,546,869,312,691

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Solution

The third proportional to 704,257,911,527 and 1,546,869,312,691 is: 3,397,625,545,103.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,257,911,527 : 1,546,869,312,691 = 1,546,869,312,691 : x
  2. Step 2: Convert to fraction form
    704,257,911,527/1,546,869,312,691 = 1,546,869,312,691/x
  3. Step 3: Cross multiply
    704,257,911,527x = 1,546,869,312,691 × 1,546,869,312,691
  4. Step 4: Simplify right side
    704,257,911,527x = 2,392,804,670,545,126,701,924,352
  5. Step 5: Solve for x
    x = 2,392,804,670,545,126,701,924,352/704,257,911,527
  6. Step 6: Final answer
    x = 3,397,625,545,103.15

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Why These Related Problems?

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