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Finding the Third Proportional to 39,565,748 and 83,382,376

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Solution

The third proportional to 39,565,748 and 83,382,376 is: 175,723,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,565,748 : 83,382,376 = 83,382,376 : x
  2. Step 2: Convert to fraction form
    39,565,748/83,382,376 = 83,382,376/x
  3. Step 3: Cross multiply
    39,565,748x = 83,382,376 × 83,382,376
  4. Step 4: Simplify right side
    39,565,748x = 6,952,620,627,405,376
  5. Step 5: Solve for x
    x = 6,952,620,627,405,376/39,565,748
  6. Step 6: Final answer
    x = 175,723,219.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.