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Finding the Third Proportional to 7,677,600.19 and 16,403,320.13

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Solution

The third proportional to 7,677,600.19 and 16,403,320.13 is: 35,045,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677,600.19 : 16,403,320.13 = 16,403,320.13 : x
  2. Step 2: Convert to fraction form
    7,677,600.19/16,403,320.13 = 16,403,320.13/x
  3. Step 3: Cross multiply
    7,677,600.19x = 16,403,320.13 × 16,403,320.13
  4. Step 4: Simplify right side
    7,677,600.19x = 269,068,911,123,230
  5. Step 5: Solve for x
    x = 269,068,911,123,230/7,677,600.19
  6. Step 6: Final answer
    x = 35,045,965.48

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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.