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Finding the Third Proportional to 4,995,711,643,940 and 6,740,388,003,288

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Solution

The third proportional to 4,995,711,643,940 and 6,740,388,003,288 is: 9,094,366,062,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995,711,643,940 : 6,740,388,003,288 = 6,740,388,003,288 : x
  2. Step 2: Convert to fraction form
    4,995,711,643,940/6,740,388,003,288 = 6,740,388,003,288/x
  3. Step 3: Cross multiply
    4,995,711,643,940x = 6,740,388,003,288 × 6,740,388,003,288
  4. Step 4: Simplify right side
    4,995,711,643,940x = 45,432,830,434,868,790,116,220,928
  5. Step 5: Solve for x
    x = 45,432,830,434,868,790,116,220,928/4,995,711,643,940
  6. Step 6: Final answer
    x = 9,094,366,062,937.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.