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Finding the Third Proportional to 11,386,314 and 24,586,986

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Solution

The third proportional to 11,386,314 and 24,586,986 is: 53,091,797.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,386,314 : 24,586,986 = 24,586,986 : x
  2. Step 2: Convert to fraction form
    11,386,314/24,586,986 = 24,586,986/x
  3. Step 3: Cross multiply
    11,386,314x = 24,586,986 × 24,586,986
  4. Step 4: Simplify right side
    11,386,314x = 604,519,880,564,196
  5. Step 5: Solve for x
    x = 604,519,880,564,196/11,386,314
  6. Step 6: Final answer
    x = 53,091,797.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.