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Finding the Third Proportional to 402,163,265.25 and 867,812,886

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Solution

The third proportional to 402,163,265.25 and 867,812,886 is: 1,872,620,575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,163,265.25 : 867,812,886 = 867,812,886 : x
  2. Step 2: Convert to fraction form
    402,163,265.25/867,812,886 = 867,812,886/x
  3. Step 3: Cross multiply
    402,163,265.25x = 867,812,886 × 867,812,886
  4. Step 4: Simplify right side
    402,163,265.25x = 753,099,205,107,649,024
  5. Step 5: Solve for x
    x = 753,099,205,107,649,024/402,163,265.25
  6. Step 6: Final answer
    x = 1,872,620,575.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.