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Finding the Third Proportional to 1,000,270,462,366 and 1,349,599,711,775

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Solution

The third proportional to 1,000,270,462,366 and 1,349,599,711,775 is: 1,820,926,889,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,270,462,366 : 1,349,599,711,775 = 1,349,599,711,775 : x
  2. Step 2: Convert to fraction form
    1,000,270,462,366/1,349,599,711,775 = 1,349,599,711,775/x
  3. Step 3: Cross multiply
    1,000,270,462,366x = 1,349,599,711,775 × 1,349,599,711,775
  4. Step 4: Simplify right side
    1,000,270,462,366x = 1,821,419,382,023,163,010,351,104
  5. Step 5: Solve for x
    x = 1,821,419,382,023,163,010,351,104/1,000,270,462,366
  6. Step 6: Final answer
    x = 1,820,926,889,828.23

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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.