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Finding the Third Proportional to 9,839,230.31 and 14,506,615.69

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Solution

The third proportional to 9,839,230.31 and 14,506,615.69 is: 21,388,044.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839,230.31 : 14,506,615.69 = 14,506,615.69 : x
  2. Step 2: Convert to fraction form
    9,839,230.31/14,506,615.69 = 14,506,615.69/x
  3. Step 3: Cross multiply
    9,839,230.31x = 14,506,615.69 × 14,506,615.69
  4. Step 4: Simplify right side
    9,839,230.31x = 210,441,898,704,821.09
  5. Step 5: Solve for x
    x = 210,441,898,704,821.09/9,839,230.31
  6. Step 6: Final answer
    x = 21,388,044.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.