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Finding the Third Proportional to 37,850,784 and 56,713,206

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Solution

The third proportional to 37,850,784 and 56,713,206 is: 84,975,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,850,784 : 56,713,206 = 56,713,206 : x
  2. Step 2: Convert to fraction form
    37,850,784/56,713,206 = 56,713,206/x
  3. Step 3: Cross multiply
    37,850,784x = 56,713,206 × 56,713,206
  4. Step 4: Simplify right side
    37,850,784x = 3,216,387,734,798,436
  5. Step 5: Solve for x
    x = 3,216,387,734,798,436/37,850,784
  6. Step 6: Final answer
    x = 84,975,458.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.