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Finding the Third Proportional to 9,148,608 and 13,417,344

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Solution

The third proportional to 9,148,608 and 13,417,344 is: 19,677,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,608 : 13,417,344 = 13,417,344 : x
  2. Step 2: Convert to fraction form
    9,148,608/13,417,344 = 13,417,344/x
  3. Step 3: Cross multiply
    9,148,608x = 13,417,344 × 13,417,344
  4. Step 4: Simplify right side
    9,148,608x = 180,025,120,014,336
  5. Step 5: Solve for x
    x = 180,025,120,014,336/9,148,608
  6. Step 6: Final answer
    x = 19,677,870.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.