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Finding the Third Proportional to 6,685,258 and 14,648,280

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Solution

The third proportional to 6,685,258 and 14,648,280 is: 32,096,309.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685,258 : 14,648,280 = 14,648,280 : x
  2. Step 2: Convert to fraction form
    6,685,258/14,648,280 = 14,648,280/x
  3. Step 3: Cross multiply
    6,685,258x = 14,648,280 × 14,648,280
  4. Step 4: Simplify right side
    6,685,258x = 214,572,106,958,400
  5. Step 5: Solve for x
    x = 214,572,106,958,400/6,685,258
  6. Step 6: Final answer
    x = 32,096,309.07

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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.