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Finding the Third Proportional to 10,469,217,254,301 and 22,910,614,587,570

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Solution

The third proportional to 10,469,217,254,301 and 22,910,614,587,570 is: 50,137,106,531,487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469,217,254,301 : 22,910,614,587,570 = 22,910,614,587,570 : x
  2. Step 2: Convert to fraction form
    10,469,217,254,301/22,910,614,587,570 = 22,910,614,587,570/x
  3. Step 3: Cross multiply
    10,469,217,254,301x = 22,910,614,587,570 × 22,910,614,587,570
  4. Step 4: Simplify right side
    10,469,217,254,301x = 524,896,260,780,175,282,810,126,336
  5. Step 5: Solve for x
    x = 524,896,260,780,175,282,810,126,336/10,469,217,254,301
  6. Step 6: Final answer
    x = 50,137,106,531,487.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.