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Finding the Third Proportional to 10,432,000.13 and 22,406,564.25

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Solution

The third proportional to 10,432,000.13 and 22,406,564.25 is: 48,126,353.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,432,000.13 : 22,406,564.25 = 22,406,564.25 : x
  2. Step 2: Convert to fraction form
    10,432,000.13/22,406,564.25 = 22,406,564.25/x
  3. Step 3: Cross multiply
    10,432,000.13x = 22,406,564.25 × 22,406,564.25
  4. Step 4: Simplify right side
    10,432,000.13x = 502,054,121,489,378.06
  5. Step 5: Solve for x
    x = 502,054,121,489,378.06/10,432,000.13
  6. Step 6: Final answer
    x = 48,126,353.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.