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Finding the Third Proportional to 948,596,218 and 2,055,516,548

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Solution

The third proportional to 948,596,218 and 2,055,516,548 is: 4,454,106,182.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,596,218 : 2,055,516,548 = 2,055,516,548 : x
  2. Step 2: Convert to fraction form
    948,596,218/2,055,516,548 = 2,055,516,548/x
  3. Step 3: Cross multiply
    948,596,218x = 2,055,516,548 × 2,055,516,548
  4. Step 4: Simplify right side
    948,596,218x = 4,225,148,279,101,836,288
  5. Step 5: Solve for x
    x = 4,225,148,279,101,836,288/948,596,218
  6. Step 6: Final answer
    x = 4,454,106,182.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.