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Finding the Third Proportional to 19,833,918.19 and 29,071,813.78

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Solution

The third proportional to 19,833,918.19 and 29,071,813.78 is: 42,612,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833,918.19 : 29,071,813.78 = 29,071,813.78 : x
  2. Step 2: Convert to fraction form
    19,833,918.19/29,071,813.78 = 29,071,813.78/x
  3. Step 3: Cross multiply
    19,833,918.19x = 29,071,813.78 × 29,071,813.78
  4. Step 4: Simplify right side
    19,833,918.19x = 845,170,356,531,677.38
  5. Step 5: Solve for x
    x = 845,170,356,531,677.38/19,833,918.19
  6. Step 6: Final answer
    x = 42,612,374.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.