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Finding the Third Proportional to 927,571,084 and 2,021,808,992

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Solution

The third proportional to 927,571,084 and 2,021,808,992 is: 4,406,898,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,571,084 : 2,021,808,992 = 2,021,808,992 : x
  2. Step 2: Convert to fraction form
    927,571,084/2,021,808,992 = 2,021,808,992/x
  3. Step 3: Cross multiply
    927,571,084x = 2,021,808,992 × 2,021,808,992
  4. Step 4: Simplify right side
    927,571,084x = 4,087,711,600,132,056,064
  5. Step 5: Solve for x
    x = 4,087,711,600,132,056,064/927,571,084
  6. Step 6: Final answer
    x = 4,406,898,479.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.