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Finding the Third Proportional to 10,348,398 and 21,769,263

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Solution

The third proportional to 10,348,398 and 21,769,263 is: 45,794,606.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348,398 : 21,769,263 = 21,769,263 : x
  2. Step 2: Convert to fraction form
    10,348,398/21,769,263 = 21,769,263/x
  3. Step 3: Cross multiply
    10,348,398x = 21,769,263 × 21,769,263
  4. Step 4: Simplify right side
    10,348,398x = 473,900,811,563,169
  5. Step 5: Solve for x
    x = 473,900,811,563,169/10,348,398
  6. Step 6: Final answer
    x = 45,794,606.23

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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.