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Finding the Third Proportional to 11,552,946 and 25,032,352

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Solution

The third proportional to 11,552,946 and 25,032,352 is: 54,238,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552,946 : 25,032,352 = 25,032,352 : x
  2. Step 2: Convert to fraction form
    11,552,946/25,032,352 = 25,032,352/x
  3. Step 3: Cross multiply
    11,552,946x = 25,032,352 × 25,032,352
  4. Step 4: Simplify right side
    11,552,946x = 626,618,646,651,904
  5. Step 5: Solve for x
    x = 626,618,646,651,904/11,552,946
  6. Step 6: Final answer
    x = 54,238,862.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.