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Finding the Third Proportional to 3,351,410,374 and 7,050,127,948

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Solution

The third proportional to 3,351,410,374 and 7,050,127,948 is: 14,830,861,797.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,351,410,374 : 7,050,127,948 = 7,050,127,948 : x
  2. Step 2: Convert to fraction form
    3,351,410,374/7,050,127,948 = 7,050,127,948/x
  3. Step 3: Cross multiply
    3,351,410,374x = 7,050,127,948 × 7,050,127,948
  4. Step 4: Simplify right side
    3,351,410,374x = 49,704,304,083,170,689,024
  5. Step 5: Solve for x
    x = 49,704,304,083,170,689,024/3,351,410,374
  6. Step 6: Final answer
    x = 14,830,861,797.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.