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Finding the Third Proportional to 17,884,941 and 38,602,596

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Solution

The third proportional to 17,884,941 and 38,602,596 is: 83,319,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,884,941 : 38,602,596 = 38,602,596 : x
  2. Step 2: Convert to fraction form
    17,884,941/38,602,596 = 38,602,596/x
  3. Step 3: Cross multiply
    17,884,941x = 38,602,596 × 38,602,596
  4. Step 4: Simplify right side
    17,884,941x = 1,490,160,417,939,216
  5. Step 5: Solve for x
    x = 1,490,160,417,939,216/17,884,941
  6. Step 6: Final answer
    x = 83,319,280.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.