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Finding the Third Proportional to 13,023,747 and 19,158,363

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Solution

The third proportional to 13,023,747 and 19,158,363 is: 28,182,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023,747 : 19,158,363 = 19,158,363 : x
  2. Step 2: Convert to fraction form
    13,023,747/19,158,363 = 19,158,363/x
  3. Step 3: Cross multiply
    13,023,747x = 19,158,363 × 19,158,363
  4. Step 4: Simplify right side
    13,023,747x = 367,042,872,839,769
  5. Step 5: Solve for x
    x = 367,042,872,839,769/13,023,747
  6. Step 6: Final answer
    x = 28,182,586.23

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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.