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Finding the Third Proportional to 9,051,370.31 and 19,824,562.69

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Solution

The third proportional to 9,051,370.31 and 19,824,562.69 is: 43,420,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,051,370.31 : 19,824,562.69 = 19,824,562.69 : x
  2. Step 2: Convert to fraction form
    9,051,370.31/19,824,562.69 = 19,824,562.69/x
  3. Step 3: Cross multiply
    9,051,370.31x = 19,824,562.69 × 19,824,562.69
  4. Step 4: Simplify right side
    9,051,370.31x = 393,013,285,750,617.25
  5. Step 5: Solve for x
    x = 393,013,285,750,617.25/9,051,370.31
  6. Step 6: Final answer
    x = 43,420,307.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.