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Finding the Third Proportional to 8,125,213,142 and 16,478,888,780

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Solution

The third proportional to 8,125,213,142 and 16,478,888,780 is: 33,421,126,397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125,213,142 : 16,478,888,780 = 16,478,888,780 : x
  2. Step 2: Convert to fraction form
    8,125,213,142/16,478,888,780 = 16,478,888,780/x
  3. Step 3: Cross multiply
    8,125,213,142x = 16,478,888,780 × 16,478,888,780
  4. Step 4: Simplify right side
    8,125,213,142x = 271,553,775,423,609,896,960
  5. Step 5: Solve for x
    x = 271,553,775,423,609,896,960/8,125,213,142
  6. Step 6: Final answer
    x = 33,421,126,397.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.