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Finding the Third Proportional to 36,386,963 and 78,913,330

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Solution

The third proportional to 36,386,963 and 78,913,330 is: 171,141,341.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,386,963 : 78,913,330 = 78,913,330 : x
  2. Step 2: Convert to fraction form
    36,386,963/78,913,330 = 78,913,330/x
  3. Step 3: Cross multiply
    36,386,963x = 78,913,330 × 78,913,330
  4. Step 4: Simplify right side
    36,386,963x = 6,227,313,651,688,900
  5. Step 5: Solve for x
    x = 6,227,313,651,688,900/36,386,963
  6. Step 6: Final answer
    x = 171,141,341.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.