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Finding the Third Proportional to 243,802,112 and 520,668,928

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Solution

The third proportional to 243,802,112 and 520,668,928 is: 1,111,951,534.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802,112 : 520,668,928 = 520,668,928 : x
  2. Step 2: Convert to fraction form
    243,802,112/520,668,928 = 520,668,928/x
  3. Step 3: Cross multiply
    243,802,112x = 520,668,928 × 520,668,928
  4. Step 4: Simplify right side
    243,802,112x = 271,096,132,584,669,184
  5. Step 5: Solve for x
    x = 271,096,132,584,669,184/243,802,112
  6. Step 6: Final answer
    x = 1,111,951,534.63

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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.