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Finding the Third Proportional to 2,757,680,482 and 4,126,750,098

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Solution

The third proportional to 2,757,680,482 and 4,126,750,098 is: 6,175,503,827.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757,680,482 : 4,126,750,098 = 4,126,750,098 : x
  2. Step 2: Convert to fraction form
    2,757,680,482/4,126,750,098 = 4,126,750,098/x
  3. Step 3: Cross multiply
    2,757,680,482x = 4,126,750,098 × 4,126,750,098
  4. Step 4: Simplify right side
    2,757,680,482x = 17,030,066,371,343,009,792
  5. Step 5: Solve for x
    x = 17,030,066,371,343,009,792/2,757,680,482
  6. Step 6: Final answer
    x = 6,175,503,827.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.