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Finding the Third Proportional to 10,777,307 and 23,348,437

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Solution

The third proportional to 10,777,307 and 23,348,437 is: 50,583,091.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777,307 : 23,348,437 = 23,348,437 : x
  2. Step 2: Convert to fraction form
    10,777,307/23,348,437 = 23,348,437/x
  3. Step 3: Cross multiply
    10,777,307x = 23,348,437 × 23,348,437
  4. Step 4: Simplify right side
    10,777,307x = 545,149,510,342,969
  5. Step 5: Solve for x
    x = 545,149,510,342,969/10,777,307
  6. Step 6: Final answer
    x = 50,583,091.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.