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Finding the Third Proportional to 4,803,097.50 and 10,492,656.75

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Solution

The third proportional to 4,803,097.50 and 10,492,656.75 is: 22,921,842.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803,097.50 : 10,492,656.75 = 10,492,656.75 : x
  2. Step 2: Convert to fraction form
    4,803,097.50/10,492,656.75 = 10,492,656.75/x
  3. Step 3: Cross multiply
    4,803,097.50x = 10,492,656.75 × 10,492,656.75
  4. Step 4: Simplify right side
    4,803,097.50x = 110,095,845,673,320.56
  5. Step 5: Solve for x
    x = 110,095,845,673,320.56/4,803,097.50
  6. Step 6: Final answer
    x = 22,921,842.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.