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Finding the Third Proportional to 555,416,924,179 and 849,725,706,479

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Solution

The third proportional to 555,416,924,179 and 849,725,706,479 is: 1,299,985,190,977.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,416,924,179 : 849,725,706,479 = 849,725,706,479 : x
  2. Step 2: Convert to fraction form
    555,416,924,179/849,725,706,479 = 849,725,706,479/x
  3. Step 3: Cross multiply
    555,416,924,179x = 849,725,706,479 × 849,725,706,479
  4. Step 4: Simplify right side
    555,416,924,179x = 722,033,776,251,235,641,327,616
  5. Step 5: Solve for x
    x = 722,033,776,251,235,641,327,616/555,416,924,179
  6. Step 6: Final answer
    x = 1,299,985,190,977.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.