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Finding the Third Proportional to 7,878,376 and 17,137,114

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Solution

The third proportional to 7,878,376 and 17,137,114 is: 37,276,803.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,376 : 17,137,114 = 17,137,114 : x
  2. Step 2: Convert to fraction form
    7,878,376/17,137,114 = 17,137,114/x
  3. Step 3: Cross multiply
    7,878,376x = 17,137,114 × 17,137,114
  4. Step 4: Simplify right side
    7,878,376x = 293,680,676,248,996
  5. Step 5: Solve for x
    x = 293,680,676,248,996/7,878,376
  6. Step 6: Final answer
    x = 37,276,803.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.