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Finding the Third Proportional to 36,784,064 and 78,849,387

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Solution

The third proportional to 36,784,064 and 78,849,387 is: 169,019,546.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,784,064 : 78,849,387 = 78,849,387 : x
  2. Step 2: Convert to fraction form
    36,784,064/78,849,387 = 78,849,387/x
  3. Step 3: Cross multiply
    36,784,064x = 78,849,387 × 78,849,387
  4. Step 4: Simplify right side
    36,784,064x = 6,217,225,830,275,769
  5. Step 5: Solve for x
    x = 6,217,225,830,275,769/36,784,064
  6. Step 6: Final answer
    x = 169,019,546.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.