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Finding the Third Proportional to 9,759,690 and 21,199,461.75

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Solution

The third proportional to 9,759,690 and 21,199,461.75 is: 46,048,304.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759,690 : 21,199,461.75 = 21,199,461.75 : x
  2. Step 2: Convert to fraction form
    9,759,690/21,199,461.75 = 21,199,461.75/x
  3. Step 3: Cross multiply
    9,759,690x = 21,199,461.75 × 21,199,461.75
  4. Step 4: Simplify right side
    9,759,690x = 449,417,178,489,713.06
  5. Step 5: Solve for x
    x = 449,417,178,489,713.06/9,759,690
  6. Step 6: Final answer
    x = 46,048,304.66

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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.