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Finding the Third Proportional to 13,778,264 and 22,687,364

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Solution

The third proportional to 13,778,264 and 22,687,364 is: 37,357,136.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778,264 : 22,687,364 = 22,687,364 : x
  2. Step 2: Convert to fraction form
    13,778,264/22,687,364 = 22,687,364/x
  3. Step 3: Cross multiply
    13,778,264x = 22,687,364 × 22,687,364
  4. Step 4: Simplify right side
    13,778,264x = 514,716,485,268,496
  5. Step 5: Solve for x
    x = 514,716,485,268,496/13,778,264
  6. Step 6: Final answer
    x = 37,357,136.23

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.