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Finding the Third Proportional to 3,905,595,336 and 5,894,712,864

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Solution

The third proportional to 3,905,595,336 and 5,894,712,864 is: 8,896,886,840.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905,595,336 : 5,894,712,864 = 5,894,712,864 : x
  2. Step 2: Convert to fraction form
    3,905,595,336/5,894,712,864 = 5,894,712,864/x
  3. Step 3: Cross multiply
    3,905,595,336x = 5,894,712,864 × 5,894,712,864
  4. Step 4: Simplify right side
    3,905,595,336x = 34,747,639,749,007,081,472
  5. Step 5: Solve for x
    x = 34,747,639,749,007,081,472/3,905,595,336
  6. Step 6: Final answer
    x = 8,896,886,840.46

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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.