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Finding the Third Proportional to 9,702,309.09 and 19,689,725.53

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Solution

The third proportional to 9,702,309.09 and 19,689,725.53 is: 39,958,043.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702,309.09 : 19,689,725.53 = 19,689,725.53 : x
  2. Step 2: Convert to fraction form
    9,702,309.09/19,689,725.53 = 19,689,725.53/x
  3. Step 3: Cross multiply
    9,702,309.09x = 19,689,725.53 × 19,689,725.53
  4. Step 4: Simplify right side
    9,702,309.09x = 387,685,291,495,958.12
  5. Step 5: Solve for x
    x = 387,685,291,495,958.12/9,702,309.09
  6. Step 6: Final answer
    x = 39,958,043.78

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.