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Finding the Third Proportional to 7,669,657.13 and 16,416,649.69

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Solution

The third proportional to 7,669,657.13 and 16,416,649.69 is: 35,139,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669,657.13 : 16,416,649.69 = 16,416,649.69 : x
  2. Step 2: Convert to fraction form
    7,669,657.13/16,416,649.69 = 16,416,649.69/x
  3. Step 3: Cross multiply
    7,669,657.13x = 16,416,649.69 × 16,416,649.69
  4. Step 4: Simplify right side
    7,669,657.13x = 269,506,386,962,093.84
  5. Step 5: Solve for x
    x = 269,506,386,962,093.84/7,669,657.13
  6. Step 6: Final answer
    x = 35,139,300.57

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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.