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Finding the Third Proportional to 2,119,426,596 and 3,158,464,230

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Solution

The third proportional to 2,119,426,596 and 3,158,464,230 is: 4,706,884,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119,426,596 : 3,158,464,230 = 3,158,464,230 : x
  2. Step 2: Convert to fraction form
    2,119,426,596/3,158,464,230 = 3,158,464,230/x
  3. Step 3: Cross multiply
    2,119,426,596x = 3,158,464,230 × 3,158,464,230
  4. Step 4: Simplify right side
    2,119,426,596x = 9,975,896,292,189,493,248
  5. Step 5: Solve for x
    x = 9,975,896,292,189,493,248/2,119,426,596
  6. Step 6: Final answer
    x = 4,706,884,546.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.