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Finding the Third Proportional to 24,693,784 and 53,180,320

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Solution

The third proportional to 24,693,784 and 53,180,320 is: 114,528,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,693,784 : 53,180,320 = 53,180,320 : x
  2. Step 2: Convert to fraction form
    24,693,784/53,180,320 = 53,180,320/x
  3. Step 3: Cross multiply
    24,693,784x = 53,180,320 × 53,180,320
  4. Step 4: Simplify right side
    24,693,784x = 2,828,146,435,302,400
  5. Step 5: Solve for x
    x = 2,828,146,435,302,400/24,693,784
  6. Step 6: Final answer
    x = 114,528,677.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.