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Finding the Third Proportional to 4,126,582,614 and 9,063,841,294

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Solution

The third proportional to 4,126,582,614 and 9,063,841,294 is: 19,908,293,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,126,582,614 : 9,063,841,294 = 9,063,841,294 : x
  2. Step 2: Convert to fraction form
    4,126,582,614/9,063,841,294 = 9,063,841,294/x
  3. Step 3: Cross multiply
    4,126,582,614x = 9,063,841,294 × 9,063,841,294
  4. Step 4: Simplify right side
    4,126,582,614x = 82,153,219,002,819,592,192
  5. Step 5: Solve for x
    x = 82,153,219,002,819,592,192/4,126,582,614
  6. Step 6: Final answer
    x = 19,908,293,783.85

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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.