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Finding the Third Proportional to 10,180,423 and 21,818,144

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Solution

The third proportional to 10,180,423 and 21,818,144 is: 46,759,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,180,423 : 21,818,144 = 21,818,144 : x
  2. Step 2: Convert to fraction form
    10,180,423/21,818,144 = 21,818,144/x
  3. Step 3: Cross multiply
    10,180,423x = 21,818,144 × 21,818,144
  4. Step 4: Simplify right side
    10,180,423x = 476,031,407,604,736
  5. Step 5: Solve for x
    x = 476,031,407,604,736/10,180,423
  6. Step 6: Final answer
    x = 46,759,491.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.