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Finding the Third Proportional to 466,352,808.75 and 997,275,701.25

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Solution

The third proportional to 466,352,808.75 and 997,275,701.25 is: 2,132,631,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,352,808.75 : 997,275,701.25 = 997,275,701.25 : x
  2. Step 2: Convert to fraction form
    466,352,808.75/997,275,701.25 = 997,275,701.25/x
  3. Step 3: Cross multiply
    466,352,808.75x = 997,275,701.25 × 997,275,701.25
  4. Step 4: Simplify right side
    466,352,808.75x = 994,558,824,303,679,232
  5. Step 5: Solve for x
    x = 994,558,824,303,679,232/466,352,808.75
  6. Step 6: Final answer
    x = 2,132,631,787.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.