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Finding the Third Proportional to 930,078,328.50 and 1,377,682,678.13

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Solution

The third proportional to 930,078,328.50 and 1,377,682,678.13 is: 2,040,698,620.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,078,328.50 : 1,377,682,678.13 = 1,377,682,678.13 : x
  2. Step 2: Convert to fraction form
    930,078,328.50/1,377,682,678.13 = 1,377,682,678.13/x
  3. Step 3: Cross multiply
    930,078,328.50x = 1,377,682,678.13 × 1,377,682,678.13
  4. Step 4: Simplify right side
    930,078,328.50x = 1,898,009,561,605,672,448
  5. Step 5: Solve for x
    x = 1,898,009,561,605,672,448/930,078,328.50
  6. Step 6: Final answer
    x = 2,040,698,620.15

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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.