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Finding the Third Proportional to 7,543,492 and 16,281,896

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Solution

The third proportional to 7,543,492 and 16,281,896 is: 35,142,893.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,543,492 : 16,281,896 = 16,281,896 : x
  2. Step 2: Convert to fraction form
    7,543,492/16,281,896 = 16,281,896/x
  3. Step 3: Cross multiply
    7,543,492x = 16,281,896 × 16,281,896
  4. Step 4: Simplify right side
    7,543,492x = 265,100,137,354,816
  5. Step 5: Solve for x
    x = 265,100,137,354,816/7,543,492
  6. Step 6: Final answer
    x = 35,142,893.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.