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Finding the Third Proportional to 1,223,381,303,384 and 1,919,124,272,892

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Solution

The third proportional to 1,223,381,303,384 and 1,919,124,272,892 is: 3,010,539,694,055.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,381,303,384 : 1,919,124,272,892 = 1,919,124,272,892 : x
  2. Step 2: Convert to fraction form
    1,223,381,303,384/1,919,124,272,892 = 1,919,124,272,892/x
  3. Step 3: Cross multiply
    1,223,381,303,384x = 1,919,124,272,892 × 1,919,124,272,892
  4. Step 4: Simplify right side
    1,223,381,303,384x = 3,683,037,974,803,247,660,007,424
  5. Step 5: Solve for x
    x = 3,683,037,974,803,247,660,007,424/1,223,381,303,384
  6. Step 6: Final answer
    x = 3,010,539,694,055.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.