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Finding the Third Proportional to 1,317,633,138 and 1,756,637,727

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Solution

The third proportional to 1,317,633,138 and 1,756,637,727 is: 2,341,908,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,633,138 : 1,756,637,727 = 1,756,637,727 : x
  2. Step 2: Convert to fraction form
    1,317,633,138/1,756,637,727 = 1,756,637,727/x
  3. Step 3: Cross multiply
    1,317,633,138x = 1,756,637,727 × 1,756,637,727
  4. Step 4: Simplify right side
    1,317,633,138x = 3,085,776,103,919,726,592
  5. Step 5: Solve for x
    x = 3,085,776,103,919,726,592/1,317,633,138
  6. Step 6: Final answer
    x = 2,341,908,392.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.