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Finding the Third Proportional to 29,974,576 and 70,735,528

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Solution

The third proportional to 29,974,576 and 70,735,528 is: 166,925,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974,576 : 70,735,528 = 70,735,528 : x
  2. Step 2: Convert to fraction form
    29,974,576/70,735,528 = 70,735,528/x
  3. Step 3: Cross multiply
    29,974,576x = 70,735,528 × 70,735,528
  4. Step 4: Simplify right side
    29,974,576x = 5,003,514,921,438,784
  5. Step 5: Solve for x
    x = 5,003,514,921,438,784/29,974,576
  6. Step 6: Final answer
    x = 166,925,294.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.