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Finding the Third Proportional to 9,830,018 and 21,549,613

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Solution

The third proportional to 9,830,018 and 21,549,613 is: 47,241,604.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,018 : 21,549,613 = 21,549,613 : x
  2. Step 2: Convert to fraction form
    9,830,018/21,549,613 = 21,549,613/x
  3. Step 3: Cross multiply
    9,830,018x = 21,549,613 × 21,549,613
  4. Step 4: Simplify right side
    9,830,018x = 464,385,820,449,769
  5. Step 5: Solve for x
    x = 464,385,820,449,769/9,830,018
  6. Step 6: Final answer
    x = 47,241,604.28

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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.