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Finding the Third Proportional to 2,206,098,441 and 4,726,925,791.88

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Solution

The third proportional to 2,206,098,441 and 4,726,925,791.88 is: 10,128,209,615.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,098,441 : 4,726,925,791.88 = 4,726,925,791.88 : x
  2. Step 2: Convert to fraction form
    2,206,098,441/4,726,925,791.88 = 4,726,925,791.88/x
  3. Step 3: Cross multiply
    2,206,098,441x = 4,726,925,791.88 × 4,726,925,791.88
  4. Step 4: Simplify right side
    2,206,098,441x = 22,343,827,441,893,097,472
  5. Step 5: Solve for x
    x = 22,343,827,441,893,097,472/2,206,098,441
  6. Step 6: Final answer
    x = 10,128,209,615.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.