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Finding the Third Proportional to 1,376,338,279.50 and 2,038,707,378

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Solution

The third proportional to 1,376,338,279.50 and 2,038,707,378 is: 3,019,844,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,338,279.50 : 2,038,707,378 = 2,038,707,378 : x
  2. Step 2: Convert to fraction form
    1,376,338,279.50/2,038,707,378 = 2,038,707,378/x
  3. Step 3: Cross multiply
    1,376,338,279.50x = 2,038,707,378 × 2,038,707,378
  4. Step 4: Simplify right side
    1,376,338,279.50x = 4,156,327,773,111,634,944
  5. Step 5: Solve for x
    x = 4,156,327,773,111,634,944/1,376,338,279.50
  6. Step 6: Final answer
    x = 3,019,844,637.77

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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.