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Finding the Third Proportional to 906,712,632 and 1,922,386,950

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Solution

The third proportional to 906,712,632 and 1,922,386,950 is: 4,075,791,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,712,632 : 1,922,386,950 = 1,922,386,950 : x
  2. Step 2: Convert to fraction form
    906,712,632/1,922,386,950 = 1,922,386,950/x
  3. Step 3: Cross multiply
    906,712,632x = 1,922,386,950 × 1,922,386,950
  4. Step 4: Simplify right side
    906,712,632x = 3,695,571,585,530,302,464
  5. Step 5: Solve for x
    x = 3,695,571,585,530,302,464/906,712,632
  6. Step 6: Final answer
    x = 4,075,791,441.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.