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Finding the Third Proportional to 10,348,206 and 21,769,012.50

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Solution

The third proportional to 10,348,206 and 21,769,012.50 is: 45,794,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,206 : 21,769,012.50 = 21,769,012.50 : x
  2. Step 2: Convert to fraction form
    10,348,206/21,769,012.50 = 21,769,012.50/x
  3. Step 3: Cross multiply
    10,348,206x = 21,769,012.50 × 21,769,012.50
  4. Step 4: Simplify right side
    10,348,206x = 473,889,905,225,156.25
  5. Step 5: Solve for x
    x = 473,889,905,225,156.25/10,348,206
  6. Step 6: Final answer
    x = 45,794,401.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.