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Finding the Third Proportional to 31,461,456.75 and 74,163,400.75

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Solution

The third proportional to 31,461,456.75 and 74,163,400.75 is: 174,823,755.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461,456.75 : 74,163,400.75 = 74,163,400.75 : x
  2. Step 2: Convert to fraction form
    31,461,456.75/74,163,400.75 = 74,163,400.75/x
  3. Step 3: Cross multiply
    31,461,456.75x = 74,163,400.75 × 74,163,400.75
  4. Step 4: Simplify right side
    31,461,456.75x = 5,500,210,010,805,101
  5. Step 5: Solve for x
    x = 5,500,210,010,805,101/31,461,456.75
  6. Step 6: Final answer
    x = 174,823,755.13

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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.