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Finding the Third Proportional to 4,572,914.48 and 9,942,990.47

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Solution

The third proportional to 4,572,914.48 and 9,942,990.47 is: 21,619,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,572,914.48 : 9,942,990.47 = 9,942,990.47 : x
  2. Step 2: Convert to fraction form
    4,572,914.48/9,942,990.47 = 9,942,990.47/x
  3. Step 3: Cross multiply
    4,572,914.48x = 9,942,990.47 × 9,942,990.47
  4. Step 4: Simplify right side
    4,572,914.48x = 98,863,059,461,653.34
  5. Step 5: Solve for x
    x = 98,863,059,461,653.34/4,572,914.48
  6. Step 6: Final answer
    x = 21,619,267.06

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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.