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Finding the Third Proportional to 14,315,402 and 21,681,591

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Solution

The third proportional to 14,315,402 and 21,681,591 is: 32,838,154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,315,402 : 21,681,591 = 21,681,591 : x
  2. Step 2: Convert to fraction form
    14,315,402/21,681,591 = 21,681,591/x
  3. Step 3: Cross multiply
    14,315,402x = 21,681,591 × 21,681,591
  4. Step 4: Simplify right side
    14,315,402x = 470,091,388,291,281
  5. Step 5: Solve for x
    x = 470,091,388,291,281/14,315,402
  6. Step 6: Final answer
    x = 32,838,154.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.