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Finding the Third Proportional to 38,884,080 and 85,091,424

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Solution

The third proportional to 38,884,080 and 85,091,424 is: 186,208,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,884,080 : 85,091,424 = 85,091,424 : x
  2. Step 2: Convert to fraction form
    38,884,080/85,091,424 = 85,091,424/x
  3. Step 3: Cross multiply
    38,884,080x = 85,091,424 × 85,091,424
  4. Step 4: Simplify right side
    38,884,080x = 7,240,550,438,347,776
  5. Step 5: Solve for x
    x = 7,240,550,438,347,776/38,884,080
  6. Step 6: Final answer
    x = 186,208,608.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.