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Finding the Third Proportional to 9,148,616 and 13,417,356

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Solution

The third proportional to 9,148,616 and 13,417,356 is: 19,677,888.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,616 : 13,417,356 = 13,417,356 : x
  2. Step 2: Convert to fraction form
    9,148,616/13,417,356 = 13,417,356/x
  3. Step 3: Cross multiply
    9,148,616x = 13,417,356 × 13,417,356
  4. Step 4: Simplify right side
    9,148,616x = 180,025,442,030,736
  5. Step 5: Solve for x
    x = 180,025,442,030,736/9,148,616
  6. Step 6: Final answer
    x = 19,677,888.11

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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.