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Finding the Third Proportional to 6,685,700 and 10,044,513

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Solution

The third proportional to 6,685,700 and 10,044,513 is: 15,090,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,700 : 10,044,513 = 10,044,513 : x
  2. Step 2: Convert to fraction form
    6,685,700/10,044,513 = 10,044,513/x
  3. Step 3: Cross multiply
    6,685,700x = 10,044,513 × 10,044,513
  4. Step 4: Simplify right side
    6,685,700x = 100,892,241,407,169
  5. Step 5: Solve for x
    x = 100,892,241,407,169/6,685,700
  6. Step 6: Final answer
    x = 15,090,752.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.