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Finding the Third Proportional to 2,975,472 and 6,445,440

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Solution

The third proportional to 2,975,472 and 6,445,440 is: 13,962,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,975,472 : 6,445,440 = 6,445,440 : x
  2. Step 2: Convert to fraction form
    2,975,472/6,445,440 = 6,445,440/x
  3. Step 3: Cross multiply
    2,975,472x = 6,445,440 × 6,445,440
  4. Step 4: Simplify right side
    2,975,472x = 41,543,696,793,600
  5. Step 5: Solve for x
    x = 41,543,696,793,600/2,975,472
  6. Step 6: Final answer
    x = 13,962,052.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.