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Finding the Third Proportional to 10,013,146.88 and 20,557,117.13

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Solution

The third proportional to 10,013,146.88 and 20,557,117.13 is: 42,204,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013,146.88 : 20,557,117.13 = 20,557,117.13 : x
  2. Step 2: Convert to fraction form
    10,013,146.88/20,557,117.13 = 20,557,117.13/x
  3. Step 3: Cross multiply
    10,013,146.88x = 20,557,117.13 × 20,557,117.13
  4. Step 4: Simplify right side
    10,013,146.88x = 422,595,064,490,968.25
  5. Step 5: Solve for x
    x = 422,595,064,490,968.25/10,013,146.88
  6. Step 6: Final answer
    x = 42,204,021.35

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.