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Finding the Third Proportional to 5,040,825,367 and 7,282,495,117

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Solution

The third proportional to 5,040,825,367 and 7,282,495,117 is: 10,521,041,946.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,040,825,367 : 7,282,495,117 = 7,282,495,117 : x
  2. Step 2: Convert to fraction form
    5,040,825,367/7,282,495,117 = 7,282,495,117/x
  3. Step 3: Cross multiply
    5,040,825,367x = 7,282,495,117 × 7,282,495,117
  4. Step 4: Simplify right side
    5,040,825,367x = 53,034,735,129,128,845,312
  5. Step 5: Solve for x
    x = 53,034,735,129,128,845,312/5,040,825,367
  6. Step 6: Final answer
    x = 10,521,041,946.09

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.