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Finding the Third Proportional to 53,804,082 and 75,497,782.50

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Solution

The third proportional to 53,804,082 and 75,497,782.50 is: 105,938,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,804,082 : 75,497,782.50 = 75,497,782.50 : x
  2. Step 2: Convert to fraction form
    53,804,082/75,497,782.50 = 75,497,782.50/x
  3. Step 3: Cross multiply
    53,804,082x = 75,497,782.50 × 75,497,782.50
  4. Step 4: Simplify right side
    53,804,082x = 5,699,915,162,417,306
  5. Step 5: Solve for x
    x = 5,699,915,162,417,306/53,804,082
  6. Step 6: Final answer
    x = 105,938,340.56

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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.