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Finding the Third Proportional to 9,459,705 and 14,608,774.50

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Solution

The third proportional to 9,459,705 and 14,608,774.50 is: 22,560,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,459,705 : 14,608,774.50 = 14,608,774.50 : x
  2. Step 2: Convert to fraction form
    9,459,705/14,608,774.50 = 14,608,774.50/x
  3. Step 3: Cross multiply
    9,459,705x = 14,608,774.50 × 14,608,774.50
  4. Step 4: Simplify right side
    9,459,705x = 213,416,292,391,850.25
  5. Step 5: Solve for x
    x = 213,416,292,391,850.25/9,459,705
  6. Step 6: Final answer
    x = 22,560,565.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.