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Finding the Third Proportional to 7,785,032 and 12,397,044

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Solution

The third proportional to 7,785,032 and 12,397,044 is: 19,741,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785,032 : 12,397,044 = 12,397,044 : x
  2. Step 2: Convert to fraction form
    7,785,032/12,397,044 = 12,397,044/x
  3. Step 3: Cross multiply
    7,785,032x = 12,397,044 × 12,397,044
  4. Step 4: Simplify right side
    7,785,032x = 153,686,699,937,936
  5. Step 5: Solve for x
    x = 153,686,699,937,936/7,785,032
  6. Step 6: Final answer
    x = 19,741,306.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.