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Finding the Third Proportional to 5,786,748 and 12,370,698

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Solution

The third proportional to 5,786,748 and 12,370,698 is: 26,445,625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786,748 : 12,370,698 = 12,370,698 : x
  2. Step 2: Convert to fraction form
    5,786,748/12,370,698 = 12,370,698/x
  3. Step 3: Cross multiply
    5,786,748x = 12,370,698 × 12,370,698
  4. Step 4: Simplify right side
    5,786,748x = 153,034,169,007,204
  5. Step 5: Solve for x
    x = 153,034,169,007,204/5,786,748
  6. Step 6: Final answer
    x = 26,445,625.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.