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Finding the Third Proportional to 30,075,652.50 and 64,467,762

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Solution

The third proportional to 30,075,652.50 and 64,467,762 is: 138,187,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075,652.50 : 64,467,762 = 64,467,762 : x
  2. Step 2: Convert to fraction form
    30,075,652.50/64,467,762 = 64,467,762/x
  3. Step 3: Cross multiply
    30,075,652.50x = 64,467,762 × 64,467,762
  4. Step 4: Simplify right side
    30,075,652.50x = 4,156,092,337,288,644
  5. Step 5: Solve for x
    x = 4,156,092,337,288,644/30,075,652.50
  6. Step 6: Final answer
    x = 138,187,935.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.