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Finding the Third Proportional to 17,654,301 and 38,013,799.50

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Solution

The third proportional to 17,654,301 and 38,013,799.50 is: 81,852,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654,301 : 38,013,799.50 = 38,013,799.50 : x
  2. Step 2: Convert to fraction form
    17,654,301/38,013,799.50 = 38,013,799.50/x
  3. Step 3: Cross multiply
    17,654,301x = 38,013,799.50 × 38,013,799.50
  4. Step 4: Simplify right side
    17,654,301x = 1,445,048,952,426,200.25
  5. Step 5: Solve for x
    x = 1,445,048,952,426,200.25/17,654,301
  6. Step 6: Final answer
    x = 81,852,515.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.