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Finding the Third Proportional to 8,559,541.16 and 17,418,016.93

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Solution

The third proportional to 8,559,541.16 and 17,418,016.93 is: 35,444,343.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,559,541.16 : 17,418,016.93 = 17,418,016.93 : x
  2. Step 2: Convert to fraction form
    8,559,541.16/17,418,016.93 = 17,418,016.93/x
  3. Step 3: Cross multiply
    8,559,541.16x = 17,418,016.93 × 17,418,016.93
  4. Step 4: Simplify right side
    8,559,541.16x = 303,387,313,898,967.31
  5. Step 5: Solve for x
    x = 303,387,313,898,967.31/8,559,541.16
  6. Step 6: Final answer
    x = 35,444,343.13

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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.