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Finding the Third Proportional to 4,417,071.75 and 9,343,425.94

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Solution

The third proportional to 4,417,071.75 and 9,343,425.94 is: 19,764,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417,071.75 : 9,343,425.94 = 9,343,425.94 : x
  2. Step 2: Convert to fraction form
    4,417,071.75/9,343,425.94 = 9,343,425.94/x
  3. Step 3: Cross multiply
    4,417,071.75x = 9,343,425.94 × 9,343,425.94
  4. Step 4: Simplify right side
    4,417,071.75x = 87,299,608,249,547.75
  5. Step 5: Solve for x
    x = 87,299,608,249,547.75/4,417,071.75
  6. Step 6: Final answer
    x = 19,764,136.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.