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Finding the Third Proportional to 9,807,280 and 15,224,136

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Solution

The third proportional to 9,807,280 and 15,224,136 is: 23,632,884.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807,280 : 15,224,136 = 15,224,136 : x
  2. Step 2: Convert to fraction form
    9,807,280/15,224,136 = 15,224,136/x
  3. Step 3: Cross multiply
    9,807,280x = 15,224,136 × 15,224,136
  4. Step 4: Simplify right side
    9,807,280x = 231,774,316,946,496
  5. Step 5: Solve for x
    x = 231,774,316,946,496/9,807,280
  6. Step 6: Final answer
    x = 23,632,884.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.