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Finding the Third Proportional to 1,048,487,106 and 1,627,976,106

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Solution

The third proportional to 1,048,487,106 and 1,627,976,106 is: 2,527,743,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048,487,106 : 1,627,976,106 = 1,627,976,106 : x
  2. Step 2: Convert to fraction form
    1,048,487,106/1,627,976,106 = 1,627,976,106/x
  3. Step 3: Cross multiply
    1,048,487,106x = 1,627,976,106 × 1,627,976,106
  4. Step 4: Simplify right side
    1,048,487,106x = 2,650,306,201,706,923,008
  5. Step 5: Solve for x
    x = 2,650,306,201,706,923,008/1,048,487,106
  6. Step 6: Final answer
    x = 2,527,743,246.95

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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.