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Finding the Third Proportional to 922,106,745 and 1,416,468,750.75

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Solution

The third proportional to 922,106,745 and 1,416,468,750.75 is: 2,175,869,261.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,106,745 : 1,416,468,750.75 = 1,416,468,750.75 : x
  2. Step 2: Convert to fraction form
    922,106,745/1,416,468,750.75 = 1,416,468,750.75/x
  3. Step 3: Cross multiply
    922,106,745x = 1,416,468,750.75 × 1,416,468,750.75
  4. Step 4: Simplify right side
    922,106,745x = 2,006,383,721,851,265,536
  5. Step 5: Solve for x
    x = 2,006,383,721,851,265,536/922,106,745
  6. Step 6: Final answer
    x = 2,175,869,261.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.