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Finding the Third Proportional to 5,070,995,414 and 7,007,157,237

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Solution

The third proportional to 5,070,995,414 and 7,007,157,237 is: 9,682,566,939.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070,995,414 : 7,007,157,237 = 7,007,157,237 : x
  2. Step 2: Convert to fraction form
    5,070,995,414/7,007,157,237 = 7,007,157,237/x
  3. Step 3: Cross multiply
    5,070,995,414x = 7,007,157,237 × 7,007,157,237
  4. Step 4: Simplify right side
    5,070,995,414x = 49,100,252,544,041,476,096
  5. Step 5: Solve for x
    x = 49,100,252,544,041,476,096/5,070,995,414
  6. Step 6: Final answer
    x = 9,682,566,939.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.