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Finding the Third Proportional to 9,766,798 and 14,367,939

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Solution

The third proportional to 9,766,798 and 14,367,939 is: 21,136,678.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766,798 : 14,367,939 = 14,367,939 : x
  2. Step 2: Convert to fraction form
    9,766,798/14,367,939 = 14,367,939/x
  3. Step 3: Cross multiply
    9,766,798x = 14,367,939 × 14,367,939
  4. Step 4: Simplify right side
    9,766,798x = 206,437,671,107,721
  5. Step 5: Solve for x
    x = 206,437,671,107,721/9,766,798
  6. Step 6: Final answer
    x = 21,136,678.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.