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Finding the Third Proportional to 9,148,640 and 13,417,392

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Solution

The third proportional to 9,148,640 and 13,417,392 is: 19,677,942.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,640 : 13,417,392 = 13,417,392 : x
  2. Step 2: Convert to fraction form
    9,148,640/13,417,392 = 13,417,392/x
  3. Step 3: Cross multiply
    9,148,640x = 13,417,392 × 13,417,392
  4. Step 4: Simplify right side
    9,148,640x = 180,026,408,081,664
  5. Step 5: Solve for x
    x = 180,026,408,081,664/9,148,640
  6. Step 6: Final answer
    x = 19,677,942.09

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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.