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Finding the Third Proportional to 7,878,358 and 17,137,082

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Solution

The third proportional to 7,878,358 and 17,137,082 is: 37,276,749.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878,358 : 17,137,082 = 17,137,082 : x
  2. Step 2: Convert to fraction form
    7,878,358/17,137,082 = 17,137,082/x
  3. Step 3: Cross multiply
    7,878,358x = 17,137,082 × 17,137,082
  4. Step 4: Simplify right side
    7,878,358x = 293,679,579,474,724
  5. Step 5: Solve for x
    x = 293,679,579,474,724/7,878,358
  6. Step 6: Final answer
    x = 37,276,749.73

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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.