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Finding the Third Proportional to 1,399,286,205 and 3,062,168,442

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Solution

The third proportional to 1,399,286,205 and 3,062,168,442 is: 6,701,184,885.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399,286,205 : 3,062,168,442 = 3,062,168,442 : x
  2. Step 2: Convert to fraction form
    1,399,286,205/3,062,168,442 = 3,062,168,442/x
  3. Step 3: Cross multiply
    1,399,286,205x = 3,062,168,442 × 3,062,168,442
  4. Step 4: Simplify right side
    1,399,286,205x = 9,376,875,567,180,707,840
  5. Step 5: Solve for x
    x = 9,376,875,567,180,707,840/1,399,286,205
  6. Step 6: Final answer
    x = 6,701,184,885.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.