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Finding the Third Proportional to 10,561,937.10 and 22,258,722.16

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Solution

The third proportional to 10,561,937.10 and 22,258,722.16 is: 46,909,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561,937.10 : 22,258,722.16 = 22,258,722.16 : x
  2. Step 2: Convert to fraction form
    10,561,937.10/22,258,722.16 = 22,258,722.16/x
  3. Step 3: Cross multiply
    10,561,937.10x = 22,258,722.16 × 22,258,722.16
  4. Step 4: Simplify right side
    10,561,937.10x = 495,450,712,376,904.94
  5. Step 5: Solve for x
    x = 495,450,712,376,904.94/10,561,937.10
  6. Step 6: Final answer
    x = 46,909,076.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.