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Finding the Third Proportional to 38,795,025 and 64,655,669

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Solution

The third proportional to 38,795,025 and 64,655,669 is: 107,754,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,795,025 : 64,655,669 = 64,655,669 : x
  2. Step 2: Convert to fraction form
    38,795,025/64,655,669 = 64,655,669/x
  3. Step 3: Cross multiply
    38,795,025x = 64,655,669 × 64,655,669
  4. Step 4: Simplify right side
    38,795,025x = 4,180,355,533,837,561
  5. Step 5: Solve for x
    x = 4,180,355,533,837,561/38,795,025
  6. Step 6: Final answer
    x = 107,754,938.52

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.