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Finding the Third Proportional to 41,448,001,768 and 63,669,200,526

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Solution

The third proportional to 41,448,001,768 and 63,669,200,526 is: 97,803,679,856.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448,001,768 : 63,669,200,526 = 63,669,200,526 : x
  2. Step 2: Convert to fraction form
    41,448,001,768/63,669,200,526 = 63,669,200,526/x
  3. Step 3: Cross multiply
    41,448,001,768x = 63,669,200,526 × 63,669,200,526
  4. Step 4: Simplify right side
    41,448,001,768x = 4,053,767,095,619,998,449,664
  5. Step 5: Solve for x
    x = 4,053,767,095,619,998,449,664/41,448,001,768
  6. Step 6: Final answer
    x = 97,803,679,856.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.