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Finding the Third Proportional to 4,951,038,224 and 7,490,338,680

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Solution

The third proportional to 4,951,038,224 and 7,490,338,680 is: 11,332,001,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951,038,224 : 7,490,338,680 = 7,490,338,680 : x
  2. Step 2: Convert to fraction form
    4,951,038,224/7,490,338,680 = 7,490,338,680/x
  3. Step 3: Cross multiply
    4,951,038,224x = 7,490,338,680 × 7,490,338,680
  4. Step 4: Simplify right side
    4,951,038,224x = 56,105,173,541,104,140,288
  5. Step 5: Solve for x
    x = 56,105,173,541,104,140,288/4,951,038,224
  6. Step 6: Final answer
    x = 11,332,001,693.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.