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Finding the Third Proportional to 15,332,514.75 and 32,792,433.75

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Solution

The third proportional to 15,332,514.75 and 32,792,433.75 is: 70,134,855.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,332,514.75 : 32,792,433.75 = 32,792,433.75 : x
  2. Step 2: Convert to fraction form
    15,332,514.75/32,792,433.75 = 32,792,433.75/x
  3. Step 3: Cross multiply
    15,332,514.75x = 32,792,433.75 × 32,792,433.75
  4. Step 4: Simplify right side
    15,332,514.75x = 1,075,343,711,248,139
  5. Step 5: Solve for x
    x = 1,075,343,711,248,139/15,332,514.75
  6. Step 6: Final answer
    x = 70,134,855.81

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