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Finding the Third Proportional to 7,036,784 and 15,369,136

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Solution

The third proportional to 7,036,784 and 15,369,136 is: 33,567,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036,784 : 15,369,136 = 15,369,136 : x
  2. Step 2: Convert to fraction form
    7,036,784/15,369,136 = 15,369,136/x
  3. Step 3: Cross multiply
    7,036,784x = 15,369,136 × 15,369,136
  4. Step 4: Simplify right side
    7,036,784x = 236,210,341,386,496
  5. Step 5: Solve for x
    x = 236,210,341,386,496/7,036,784
  6. Step 6: Final answer
    x = 33,567,939.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.