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Finding the Third Proportional to 14,827,376 and 32,052,946

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Solution

The third proportional to 14,827,376 and 32,052,946 is: 69,290,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,827,376 : 32,052,946 = 32,052,946 : x
  2. Step 2: Convert to fraction form
    14,827,376/32,052,946 = 32,052,946/x
  3. Step 3: Cross multiply
    14,827,376x = 32,052,946 × 32,052,946
  4. Step 4: Simplify right side
    14,827,376x = 1,027,391,347,278,916
  5. Step 5: Solve for x
    x = 1,027,391,347,278,916/14,827,376
  6. Step 6: Final answer
    x = 69,290,166.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.