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Finding the Third Proportional to 2,176,247,098.13 and 4,721,978,521.12

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Solution

The third proportional to 2,176,247,098.13 and 4,721,978,521.12 is: 10,245,656,926.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176,247,098.13 : 4,721,978,521.12 = 4,721,978,521.12 : x
  2. Step 2: Convert to fraction form
    2,176,247,098.13/4,721,978,521.12 = 4,721,978,521.12/x
  3. Step 3: Cross multiply
    2,176,247,098.13x = 4,721,978,521.12 × 4,721,978,521.12
  4. Step 4: Simplify right side
    2,176,247,098.13x = 22,297,081,153,963,950,080
  5. Step 5: Solve for x
    x = 22,297,081,153,963,950,080/2,176,247,098.13
  6. Step 6: Final answer
    x = 10,245,656,926.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.