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Finding the Third Proportional to 27,464,376 and 40,355,784

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Solution

The third proportional to 27,464,376 and 40,355,784 is: 59,298,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,464,376 : 40,355,784 = 40,355,784 : x
  2. Step 2: Convert to fraction form
    27,464,376/40,355,784 = 40,355,784/x
  3. Step 3: Cross multiply
    27,464,376x = 40,355,784 × 40,355,784
  4. Step 4: Simplify right side
    27,464,376x = 1,628,589,302,254,656
  5. Step 5: Solve for x
    x = 1,628,589,302,254,656/27,464,376
  6. Step 6: Final answer
    x = 59,298,245.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.