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Finding the Third Proportional to 37,472,672 and 83,561,488

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Solution

The third proportional to 37,472,672 and 83,561,488 is: 186,336,386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,472,672 : 83,561,488 = 83,561,488 : x
  2. Step 2: Convert to fraction form
    37,472,672/83,561,488 = 83,561,488/x
  3. Step 3: Cross multiply
    37,472,672x = 83,561,488 × 83,561,488
  4. Step 4: Simplify right side
    37,472,672x = 6,982,522,276,774,144
  5. Step 5: Solve for x
    x = 6,982,522,276,774,144/37,472,672
  6. Step 6: Final answer
    x = 186,336,386.07

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.