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Finding the Third Proportional to 45,768,699 and 69,078,671.44

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Solution

The third proportional to 45,768,699 and 69,078,671.44 is: 104,260,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,768,699 : 69,078,671.44 = 69,078,671.44 : x
  2. Step 2: Convert to fraction form
    45,768,699/69,078,671.44 = 69,078,671.44/x
  3. Step 3: Cross multiply
    45,768,699x = 69,078,671.44 × 69,078,671.44
  4. Step 4: Simplify right side
    45,768,699x = 4,771,862,847,570,078
  5. Step 5: Solve for x
    x = 4,771,862,847,570,078/45,768,699
  6. Step 6: Final answer
    x = 104,260,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.