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Finding the Third Proportional to 10,648,047.38 and 17,385,465.38

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Solution

The third proportional to 10,648,047.38 and 17,385,465.38 is: 28,385,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648,047.38 : 17,385,465.38 = 17,385,465.38 : x
  2. Step 2: Convert to fraction form
    10,648,047.38/17,385,465.38 = 17,385,465.38/x
  3. Step 3: Cross multiply
    10,648,047.38x = 17,385,465.38 × 17,385,465.38
  4. Step 4: Simplify right side
    10,648,047.38x = 302,254,406,305,323.88
  5. Step 5: Solve for x
    x = 302,254,406,305,323.88/10,648,047.38
  6. Step 6: Final answer
    x = 28,385,899.84

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.