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Finding the Third Proportional to 45,407,637 and 93,842,196.75

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Solution

The third proportional to 45,407,637 and 93,842,196.75 is: 193,940,016.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407,637 : 93,842,196.75 = 93,842,196.75 : x
  2. Step 2: Convert to fraction form
    45,407,637/93,842,196.75 = 93,842,196.75/x
  3. Step 3: Cross multiply
    45,407,637x = 93,842,196.75 × 93,842,196.75
  4. Step 4: Simplify right side
    45,407,637x = 8,806,357,890,865,711
  5. Step 5: Solve for x
    x = 8,806,357,890,865,711/45,407,637
  6. Step 6: Final answer
    x = 193,940,016.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.