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Finding the Third Proportional to 4,605,332,934 and 7,074,354,798

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Solution

The third proportional to 4,605,332,934 and 7,074,354,798 is: 10,867,074,438.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605,332,934 : 7,074,354,798 = 7,074,354,798 : x
  2. Step 2: Convert to fraction form
    4,605,332,934/7,074,354,798 = 7,074,354,798/x
  3. Step 3: Cross multiply
    4,605,332,934x = 7,074,354,798 × 7,074,354,798
  4. Step 4: Simplify right side
    4,605,332,934x = 50,046,495,807,985,623,040
  5. Step 5: Solve for x
    x = 50,046,495,807,985,623,040/4,605,332,934
  6. Step 6: Final answer
    x = 10,867,074,438.53

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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.