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Finding the Third Proportional to 1,000,270,462,363.50 and 1,349,599,711,772

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Solution

The third proportional to 1,000,270,462,363.50 and 1,349,599,711,772 is: 1,820,926,889,824.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000,270,462,363.50 : 1,349,599,711,772 = 1,349,599,711,772 : x
  2. Step 2: Convert to fraction form
    1,000,270,462,363.50/1,349,599,711,772 = 1,349,599,711,772/x
  3. Step 3: Cross multiply
    1,000,270,462,363.50x = 1,349,599,711,772 × 1,349,599,711,772
  4. Step 4: Simplify right side
    1,000,270,462,363.50x = 1,821,419,382,015,065,386,385,408
  5. Step 5: Solve for x
    x = 1,821,419,382,015,065,386,385,408/1,000,270,462,363.50
  6. Step 6: Final answer
    x = 1,820,926,889,824.68

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