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Finding the Third Proportional to 34,048,442 and 47,776,791

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Solution

The third proportional to 34,048,442 and 47,776,791 is: 67,040,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,048,442 : 47,776,791 = 47,776,791 : x
  2. Step 2: Convert to fraction form
    34,048,442/47,776,791 = 47,776,791/x
  3. Step 3: Cross multiply
    34,048,442x = 47,776,791 × 47,776,791
  4. Step 4: Simplify right side
    34,048,442x = 2,282,621,758,257,681
  5. Step 5: Solve for x
    x = 2,282,621,758,257,681/34,048,442
  6. Step 6: Final answer
    x = 67,040,417.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.