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Finding the Third Proportional to 41,448,000,749 and 63,669,199,476

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Solution

The third proportional to 41,448,000,749 and 63,669,199,476 is: 97,803,679,035.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,448,000,749 : 63,669,199,476 = 63,669,199,476 : x
  2. Step 2: Convert to fraction form
    41,448,000,749/63,669,199,476 = 63,669,199,476/x
  3. Step 3: Cross multiply
    41,448,000,749x = 63,669,199,476 × 63,669,199,476
  4. Step 4: Simplify right side
    41,448,000,749x = 4,053,766,961,914,678,607,872
  5. Step 5: Solve for x
    x = 4,053,766,961,914,678,607,872/41,448,000,749
  6. Step 6: Final answer
    x = 97,803,679,035.41

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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.