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Finding the Third Proportional to 12,369,840 and 19,884,453

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Solution

The third proportional to 12,369,840 and 19,884,453 is: 31,964,154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,369,840 : 19,884,453 = 19,884,453 : x
  2. Step 2: Convert to fraction form
    12,369,840/19,884,453 = 19,884,453/x
  3. Step 3: Cross multiply
    12,369,840x = 19,884,453 × 19,884,453
  4. Step 4: Simplify right side
    12,369,840x = 395,391,471,109,209
  5. Step 5: Solve for x
    x = 395,391,471,109,209/12,369,840
  6. Step 6: Final answer
    x = 31,964,154.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.