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Finding the Third Proportional to 637,464,384 and 937,967,868

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Solution

The third proportional to 637,464,384 and 937,967,868 is: 1,380,130,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,464,384 : 937,967,868 = 937,967,868 : x
  2. Step 2: Convert to fraction form
    637,464,384/937,967,868 = 937,967,868/x
  3. Step 3: Cross multiply
    637,464,384x = 937,967,868 × 937,967,868
  4. Step 4: Simplify right side
    637,464,384x = 879,783,721,400,465,408
  5. Step 5: Solve for x
    x = 879,783,721,400,465,408/637,464,384
  6. Step 6: Final answer
    x = 1,380,130,001.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.