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Finding the Third Proportional to 7,381,107 and 15,975,261

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Solution

The third proportional to 7,381,107 and 15,975,261 is: 34,575,974.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381,107 : 15,975,261 = 15,975,261 : x
  2. Step 2: Convert to fraction form
    7,381,107/15,975,261 = 15,975,261/x
  3. Step 3: Cross multiply
    7,381,107x = 15,975,261 × 15,975,261
  4. Step 4: Simplify right side
    7,381,107x = 255,208,964,018,121
  5. Step 5: Solve for x
    x = 255,208,964,018,121/7,381,107
  6. Step 6: Final answer
    x = 34,575,974.04

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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.