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Finding the Third Proportional to 7,411,570 and 16,060,267

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Solution

The third proportional to 7,411,570 and 16,060,267 is: 34,801,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411,570 : 16,060,267 = 16,060,267 : x
  2. Step 2: Convert to fraction form
    7,411,570/16,060,267 = 16,060,267/x
  3. Step 3: Cross multiply
    7,411,570x = 16,060,267 × 16,060,267
  4. Step 4: Simplify right side
    7,411,570x = 257,932,176,111,289
  5. Step 5: Solve for x
    x = 257,932,176,111,289/7,411,570
  6. Step 6: Final answer
    x = 34,801,287.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.