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Finding the Third Proportional to 74,294,757 and 112,564,059.75

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Solution

The third proportional to 74,294,757 and 112,564,059.75 is: 170,545,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,294,757 : 112,564,059.75 = 112,564,059.75 : x
  2. Step 2: Convert to fraction form
    74,294,757/112,564,059.75 = 112,564,059.75/x
  3. Step 3: Cross multiply
    74,294,757x = 112,564,059.75 × 112,564,059.75
  4. Step 4: Simplify right side
    74,294,757x = 12,670,667,547,401,570
  5. Step 5: Solve for x
    x = 12,670,667,547,401,570/74,294,757
  6. Step 6: Final answer
    x = 170,545,918.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.