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Finding the Third Proportional to 13,778,350 and 29,662,780

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Solution

The third proportional to 13,778,350 and 29,662,780 is: 63,859,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778,350 : 29,662,780 = 29,662,780 : x
  2. Step 2: Convert to fraction form
    13,778,350/29,662,780 = 29,662,780/x
  3. Step 3: Cross multiply
    13,778,350x = 29,662,780 × 29,662,780
  4. Step 4: Simplify right side
    13,778,350x = 879,880,517,328,400
  5. Step 5: Solve for x
    x = 879,880,517,328,400/13,778,350
  6. Step 6: Final answer
    x = 63,859,643.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.