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Finding the Third Proportional to 7,676,600 and 16,416,076

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Solution

The third proportional to 7,676,600 and 16,416,076 is: 35,105,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,676,600 : 16,416,076 = 16,416,076 : x
  2. Step 2: Convert to fraction form
    7,676,600/16,416,076 = 16,416,076/x
  3. Step 3: Cross multiply
    7,676,600x = 16,416,076 × 16,416,076
  4. Step 4: Simplify right side
    7,676,600x = 269,487,551,237,776
  5. Step 5: Solve for x
    x = 269,487,551,237,776/7,676,600
  6. Step 6: Final answer
    x = 35,105,066.21

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Why These Related Problems?

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