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Finding the Third Proportional to 10,675,368,962 and 22,234,331,448

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Solution

The third proportional to 10,675,368,962 and 22,234,331,448 is: 46,308,984,420.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675,368,962 : 22,234,331,448 = 22,234,331,448 : x
  2. Step 2: Convert to fraction form
    10,675,368,962/22,234,331,448 = 22,234,331,448/x
  3. Step 3: Cross multiply
    10,675,368,962x = 22,234,331,448 × 22,234,331,448
  4. Step 4: Simplify right side
    10,675,368,962x = 494,365,494,939,521,777,664
  5. Step 5: Solve for x
    x = 494,365,494,939,521,777,664/10,675,368,962
  6. Step 6: Final answer
    x = 46,308,984,420.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.