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Finding the Third Proportional to 12,126,766,349 and 26,388,905,998

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Solution

The third proportional to 12,126,766,349 and 26,388,905,998 is: 57,424,571,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126,766,349 : 26,388,905,998 = 26,388,905,998 : x
  2. Step 2: Convert to fraction form
    12,126,766,349/26,388,905,998 = 26,388,905,998/x
  3. Step 3: Cross multiply
    12,126,766,349x = 26,388,905,998 × 26,388,905,998
  4. Step 4: Simplify right side
    12,126,766,349x = 696,374,359,771,280,441,344
  5. Step 5: Solve for x
    x = 696,374,359,771,280,441,344/12,126,766,349
  6. Step 6: Final answer
    x = 57,424,571,376.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.