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Finding the Third Proportional to 9,747,798 and 21,121,046

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Solution

The third proportional to 9,747,798 and 21,121,046 is: 45,764,036.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747,798 : 21,121,046 = 21,121,046 : x
  2. Step 2: Convert to fraction form
    9,747,798/21,121,046 = 21,121,046/x
  3. Step 3: Cross multiply
    9,747,798x = 21,121,046 × 21,121,046
  4. Step 4: Simplify right side
    9,747,798x = 446,098,584,134,116
  5. Step 5: Solve for x
    x = 446,098,584,134,116/9,747,798
  6. Step 6: Final answer
    x = 45,764,036.57

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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.