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Finding the Third Proportional to 930,078,331 and 1,377,682,681

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Solution

The third proportional to 930,078,331 and 1,377,682,681 is: 2,040,698,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,078,331 : 1,377,682,681 = 1,377,682,681 : x
  2. Step 2: Convert to fraction form
    930,078,331/1,377,682,681 = 1,377,682,681/x
  3. Step 3: Cross multiply
    930,078,331x = 1,377,682,681 × 1,377,682,681
  4. Step 4: Simplify right side
    930,078,331x = 1,898,009,569,527,347,712
  5. Step 5: Solve for x
    x = 1,898,009,569,527,347,712/930,078,331
  6. Step 6: Final answer
    x = 2,040,698,623.19

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.