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Finding the Third Proportional to 2,329,610.63 and 4,772,147.91

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Solution

The third proportional to 2,329,610.63 and 4,772,147.91 is: 9,775,623.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329,610.63 : 4,772,147.91 = 4,772,147.91 : x
  2. Step 2: Convert to fraction form
    2,329,610.63/4,772,147.91 = 4,772,147.91/x
  3. Step 3: Cross multiply
    2,329,610.63x = 4,772,147.91 × 4,772,147.91
  4. Step 4: Simplify right side
    2,329,610.63x = 22,773,395,639,126.26
  5. Step 5: Solve for x
    x = 22,773,395,639,126.26/2,329,610.63
  6. Step 6: Final answer
    x = 9,775,623.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.