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Finding the Third Proportional to 10,575,105 and 23,191,501.50

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Solution

The third proportional to 10,575,105 and 23,191,501.50 is: 50,859,612.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575,105 : 23,191,501.50 = 23,191,501.50 : x
  2. Step 2: Convert to fraction form
    10,575,105/23,191,501.50 = 23,191,501.50/x
  3. Step 3: Cross multiply
    10,575,105x = 23,191,501.50 × 23,191,501.50
  4. Step 4: Simplify right side
    10,575,105x = 537,845,741,824,502.25
  5. Step 5: Solve for x
    x = 537,845,741,824,502.25/10,575,105
  6. Step 6: Final answer
    x = 50,859,612.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.