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Finding the Third Proportional to 698,190,068 and 1,518,961,396

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Solution

The third proportional to 698,190,068 and 1,518,961,396 is: 3,304,606,909.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,190,068 : 1,518,961,396 = 1,518,961,396 : x
  2. Step 2: Convert to fraction form
    698,190,068/1,518,961,396 = 1,518,961,396/x
  3. Step 3: Cross multiply
    698,190,068x = 1,518,961,396 × 1,518,961,396
  4. Step 4: Simplify right side
    698,190,068x = 2,307,243,722,538,268,672
  5. Step 5: Solve for x
    x = 2,307,243,722,538,268,672/698,190,068
  6. Step 6: Final answer
    x = 3,304,606,909.04

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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.