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Finding the Third Proportional to 10,865,593.13 and 23,026,573.69

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Solution

The third proportional to 10,865,593.13 and 23,026,573.69 is: 48,798,357.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,593.13 : 23,026,573.69 = 23,026,573.69 : x
  2. Step 2: Convert to fraction form
    10,865,593.13/23,026,573.69 = 23,026,573.69/x
  3. Step 3: Cross multiply
    10,865,593.13x = 23,026,573.69 × 23,026,573.69
  4. Step 4: Simplify right side
    10,865,593.13x = 530,223,095,785,867.38
  5. Step 5: Solve for x
    x = 530,223,095,785,867.38/10,865,593.13
  6. Step 6: Final answer
    x = 48,798,357.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.