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Finding the Third Proportional to 9,829,944 and 21,549,456

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Solution

The third proportional to 9,829,944 and 21,549,456 is: 47,241,271.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,944 : 21,549,456 = 21,549,456 : x
  2. Step 2: Convert to fraction form
    9,829,944/21,549,456 = 21,549,456/x
  3. Step 3: Cross multiply
    9,829,944x = 21,549,456 × 21,549,456
  4. Step 4: Simplify right side
    9,829,944x = 464,379,053,895,936
  5. Step 5: Solve for x
    x = 464,379,053,895,936/9,829,944
  6. Step 6: Final answer
    x = 47,241,271.56

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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.