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Finding the Third Proportional to 243,591,680 and 574,832,774

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Solution

The third proportional to 243,591,680 and 574,832,774 is: 1,356,502,480.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,591,680 : 574,832,774 = 574,832,774 : x
  2. Step 2: Convert to fraction form
    243,591,680/574,832,774 = 574,832,774/x
  3. Step 3: Cross multiply
    243,591,680x = 574,832,774 × 574,832,774
  4. Step 4: Simplify right side
    243,591,680x = 330,432,718,064,535,104
  5. Step 5: Solve for x
    x = 330,432,718,064,535,104/243,591,680
  6. Step 6: Final answer
    x = 1,356,502,480.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.