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Finding the Third Proportional to 15,974,496 and 34,989,792.75

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Solution

The third proportional to 15,974,496 and 34,989,792.75 is: 76,640,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974,496 : 34,989,792.75 = 34,989,792.75 : x
  2. Step 2: Convert to fraction form
    15,974,496/34,989,792.75 = 34,989,792.75/x
  3. Step 3: Cross multiply
    15,974,496x = 34,989,792.75 × 34,989,792.75
  4. Step 4: Simplify right side
    15,974,496x = 1,224,285,596,687,952.50
  5. Step 5: Solve for x
    x = 1,224,285,596,687,952.50/15,974,496
  6. Step 6: Final answer
    x = 76,640,013.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.