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Finding the Third Proportional to 7,457,186 and 16,337,196

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Solution

The third proportional to 7,457,186 and 16,337,196 is: 35,791,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,186 : 16,337,196 = 16,337,196 : x
  2. Step 2: Convert to fraction form
    7,457,186/16,337,196 = 16,337,196/x
  3. Step 3: Cross multiply
    7,457,186x = 16,337,196 × 16,337,196
  4. Step 4: Simplify right side
    7,457,186x = 266,903,973,142,416
  5. Step 5: Solve for x
    x = 266,903,973,142,416/7,457,186
  6. Step 6: Final answer
    x = 35,791,513.47

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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.