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Finding the Third Proportional to 10,563,808.50 and 22,934,440.50

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Solution

The third proportional to 10,563,808.50 and 22,934,440.50 is: 49,791,565.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,563,808.50 : 22,934,440.50 = 22,934,440.50 : x
  2. Step 2: Convert to fraction form
    10,563,808.50/22,934,440.50 = 22,934,440.50/x
  3. Step 3: Cross multiply
    10,563,808.50x = 22,934,440.50 × 22,934,440.50
  4. Step 4: Simplify right side
    10,563,808.50x = 525,988,561,048,040.25
  5. Step 5: Solve for x
    x = 525,988,561,048,040.25/10,563,808.50
  6. Step 6: Final answer
    x = 49,791,565.33

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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.