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Finding the Third Proportional to 4,842,324 and 7,237,642

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Solution

The third proportional to 4,842,324 and 7,237,642 is: 10,817,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842,324 : 7,237,642 = 7,237,642 : x
  2. Step 2: Convert to fraction form
    4,842,324/7,237,642 = 7,237,642/x
  3. Step 3: Cross multiply
    4,842,324x = 7,237,642 × 7,237,642
  4. Step 4: Simplify right side
    4,842,324x = 52,383,461,720,164
  5. Step 5: Solve for x
    x = 52,383,461,720,164/4,842,324
  6. Step 6: Final answer
    x = 10,817,834.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.