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Finding the Third Proportional to 900,054,825 and 1,352,478,636

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Solution

The third proportional to 900,054,825 and 1,352,478,636 is: 2,032,318,932.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,054,825 : 1,352,478,636 = 1,352,478,636 : x
  2. Step 2: Convert to fraction form
    900,054,825/1,352,478,636 = 1,352,478,636/x
  3. Step 3: Cross multiply
    900,054,825x = 1,352,478,636 × 1,352,478,636
  4. Step 4: Simplify right side
    900,054,825x = 1,829,198,460,836,420,608
  5. Step 5: Solve for x
    x = 1,829,198,460,836,420,608/900,054,825
  6. Step 6: Final answer
    x = 2,032,318,932.17

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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.