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Finding the Third Proportional to 14,502,144 and 30,497,280

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Solution

The third proportional to 14,502,144 and 30,497,280 is: 64,134,247.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,502,144 : 30,497,280 = 30,497,280 : x
  2. Step 2: Convert to fraction form
    14,502,144/30,497,280 = 30,497,280/x
  3. Step 3: Cross multiply
    14,502,144x = 30,497,280 × 30,497,280
  4. Step 4: Simplify right side
    14,502,144x = 930,084,087,398,400
  5. Step 5: Solve for x
    x = 930,084,087,398,400/14,502,144
  6. Step 6: Final answer
    x = 64,134,247.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.