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Finding the Third Proportional to 21,811,964 and 47,259,046

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Solution

The third proportional to 21,811,964 and 47,259,046 is: 102,394,146.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,811,964 : 47,259,046 = 47,259,046 : x
  2. Step 2: Convert to fraction form
    21,811,964/47,259,046 = 47,259,046/x
  3. Step 3: Cross multiply
    21,811,964x = 47,259,046 × 47,259,046
  4. Step 4: Simplify right side
    21,811,964x = 2,233,417,428,830,116
  5. Step 5: Solve for x
    x = 2,233,417,428,830,116/21,811,964
  6. Step 6: Final answer
    x = 102,394,146.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.