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Finding the Third Proportional to 1,385,264,354 and 2,146,778,332

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Solution

The third proportional to 1,385,264,354 and 2,146,778,332 is: 3,326,915,323.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,264,354 : 2,146,778,332 = 2,146,778,332 : x
  2. Step 2: Convert to fraction form
    1,385,264,354/2,146,778,332 = 2,146,778,332/x
  3. Step 3: Cross multiply
    1,385,264,354x = 2,146,778,332 × 2,146,778,332
  4. Step 4: Simplify right side
    1,385,264,354x = 4,608,657,206,744,702,464
  5. Step 5: Solve for x
    x = 4,608,657,206,744,702,464/1,385,264,354
  6. Step 6: Final answer
    x = 3,326,915,323.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.