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Finding the Third Proportional to 1,359,433,721 and 2,099,203,482

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Solution

The third proportional to 1,359,433,721 and 2,099,203,482 is: 3,241,537,406.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,359,433,721 : 2,099,203,482 = 2,099,203,482 : x
  2. Step 2: Convert to fraction form
    1,359,433,721/2,099,203,482 = 2,099,203,482/x
  3. Step 3: Cross multiply
    1,359,433,721x = 2,099,203,482 × 2,099,203,482
  4. Step 4: Simplify right side
    1,359,433,721x = 4,406,655,258,840,924,160
  5. Step 5: Solve for x
    x = 4,406,655,258,840,924,160/1,359,433,721
  6. Step 6: Final answer
    x = 3,241,537,406.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.