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Finding the Third Proportional to 15,732,075 and 34,323,774

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Solution

The third proportional to 15,732,075 and 34,323,774 is: 74,886,590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,732,075 : 34,323,774 = 34,323,774 : x
  2. Step 2: Convert to fraction form
    15,732,075/34,323,774 = 34,323,774/x
  3. Step 3: Cross multiply
    15,732,075x = 34,323,774 × 34,323,774
  4. Step 4: Simplify right side
    15,732,075x = 1,178,121,461,603,076
  5. Step 5: Solve for x
    x = 1,178,121,461,603,076/15,732,075
  6. Step 6: Final answer
    x = 74,886,590.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.