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Finding the Third Proportional to 19,656,580 and 29,759,704

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Solution

The third proportional to 19,656,580 and 29,759,704 is: 45,055,649.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,656,580 : 29,759,704 = 29,759,704 : x
  2. Step 2: Convert to fraction form
    19,656,580/29,759,704 = 29,759,704/x
  3. Step 3: Cross multiply
    19,656,580x = 29,759,704 × 29,759,704
  4. Step 4: Simplify right side
    19,656,580x = 885,639,982,167,616
  5. Step 5: Solve for x
    x = 885,639,982,167,616/19,656,580
  6. Step 6: Final answer
    x = 45,055,649.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.