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Finding the Third Proportional to 14,281,377 and 21,756,690

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Solution

The third proportional to 14,281,377 and 21,756,690 is: 33,144,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,281,377 : 21,756,690 = 21,756,690 : x
  2. Step 2: Convert to fraction form
    14,281,377/21,756,690 = 21,756,690/x
  3. Step 3: Cross multiply
    14,281,377x = 21,756,690 × 21,756,690
  4. Step 4: Simplify right side
    14,281,377x = 473,353,559,756,100
  5. Step 5: Solve for x
    x = 473,353,559,756,100/14,281,377
  6. Step 6: Final answer
    x = 33,144,812.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.