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Finding the Third Proportional to 927,571,082 and 2,021,808,988

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Solution

The third proportional to 927,571,082 and 2,021,808,988 is: 4,406,898,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,571,082 : 2,021,808,988 = 2,021,808,988 : x
  2. Step 2: Convert to fraction form
    927,571,082/2,021,808,988 = 2,021,808,988/x
  3. Step 3: Cross multiply
    927,571,082x = 2,021,808,988 × 2,021,808,988
  4. Step 4: Simplify right side
    927,571,082x = 4,087,711,583,957,584,384
  5. Step 5: Solve for x
    x = 4,087,711,583,957,584,384/927,571,082
  6. Step 6: Final answer
    x = 4,406,898,472.02

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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.