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Finding the Third Proportional to 14,686,716 and 31,813,368

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Solution

The third proportional to 14,686,716 and 31,813,368 is: 68,911,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686,716 : 31,813,368 = 31,813,368 : x
  2. Step 2: Convert to fraction form
    14,686,716/31,813,368 = 31,813,368/x
  3. Step 3: Cross multiply
    14,686,716x = 31,813,368 × 31,813,368
  4. Step 4: Simplify right side
    14,686,716x = 1,012,090,383,503,424
  5. Step 5: Solve for x
    x = 1,012,090,383,503,424/14,686,716
  6. Step 6: Final answer
    x = 68,911,959.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.