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Finding the Third Proportional to 43,385,290 and 57,578,709

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Solution

The third proportional to 43,385,290 and 57,578,709 is: 76,415,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,385,290 : 57,578,709 = 57,578,709 : x
  2. Step 2: Convert to fraction form
    43,385,290/57,578,709 = 57,578,709/x
  3. Step 3: Cross multiply
    43,385,290x = 57,578,709 × 57,578,709
  4. Step 4: Simplify right side
    43,385,290x = 3,315,307,730,106,681
  5. Step 5: Solve for x
    x = 3,315,307,730,106,681/43,385,290
  6. Step 6: Final answer
    x = 76,415,479.30

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.