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Finding the Third Proportional to 6,443,216 and 13,894,700

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Solution

The third proportional to 6,443,216 and 13,894,700 is: 29,963,715.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443,216 : 13,894,700 = 13,894,700 : x
  2. Step 2: Convert to fraction form
    6,443,216/13,894,700 = 13,894,700/x
  3. Step 3: Cross multiply
    6,443,216x = 13,894,700 × 13,894,700
  4. Step 4: Simplify right side
    6,443,216x = 193,062,688,090,000
  5. Step 5: Solve for x
    x = 193,062,688,090,000/6,443,216
  6. Step 6: Final answer
    x = 29,963,715.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.