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Finding the Third Proportional to 2,897,341,573 and 6,276,016,759

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Solution

The third proportional to 2,897,341,573 and 6,276,016,759 is: 13,594,664,407.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897,341,573 : 6,276,016,759 = 6,276,016,759 : x
  2. Step 2: Convert to fraction form
    2,897,341,573/6,276,016,759 = 6,276,016,759/x
  3. Step 3: Cross multiply
    2,897,341,573x = 6,276,016,759 × 6,276,016,759
  4. Step 4: Simplify right side
    2,897,341,573x = 39,388,386,359,248,863,232
  5. Step 5: Solve for x
    x = 39,388,386,359,248,863,232/2,897,341,573
  6. Step 6: Final answer
    x = 13,594,664,407.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.