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Finding the Third Proportional to 6,954,830 and 14,938,034

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Solution

The third proportional to 6,954,830 and 14,938,034 is: 32,084,876.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954,830 : 14,938,034 = 14,938,034 : x
  2. Step 2: Convert to fraction form
    6,954,830/14,938,034 = 14,938,034/x
  3. Step 3: Cross multiply
    6,954,830x = 14,938,034 × 14,938,034
  4. Step 4: Simplify right side
    6,954,830x = 223,144,859,785,156
  5. Step 5: Solve for x
    x = 223,144,859,785,156/6,954,830
  6. Step 6: Final answer
    x = 32,084,876.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.