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Finding the Third Proportional to 38,854,164 and 57,021,534

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Solution

The third proportional to 38,854,164 and 57,021,534 is: 83,683,574.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,854,164 : 57,021,534 = 57,021,534 : x
  2. Step 2: Convert to fraction form
    38,854,164/57,021,534 = 57,021,534/x
  3. Step 3: Cross multiply
    38,854,164x = 57,021,534 × 57,021,534
  4. Step 4: Simplify right side
    38,854,164x = 3,251,455,339,713,156
  5. Step 5: Solve for x
    x = 3,251,455,339,713,156/38,854,164
  6. Step 6: Final answer
    x = 83,683,574.81

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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.