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Finding the Third Proportional to 7,473,600 and 16,343,136

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Solution

The third proportional to 7,473,600 and 16,343,136 is: 35,738,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473,600 : 16,343,136 = 16,343,136 : x
  2. Step 2: Convert to fraction form
    7,473,600/16,343,136 = 16,343,136/x
  3. Step 3: Cross multiply
    7,473,600x = 16,343,136 × 16,343,136
  4. Step 4: Simplify right side
    7,473,600x = 267,098,094,314,496
  5. Step 5: Solve for x
    x = 267,098,094,314,496/7,473,600
  6. Step 6: Final answer
    x = 35,738,880.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.