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Finding the Third Proportional to 4,614,278 and 9,938,512

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Solution

The third proportional to 4,614,278 and 9,938,512 is: 21,406,170.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614,278 : 9,938,512 = 9,938,512 : x
  2. Step 2: Convert to fraction form
    4,614,278/9,938,512 = 9,938,512/x
  3. Step 3: Cross multiply
    4,614,278x = 9,938,512 × 9,938,512
  4. Step 4: Simplify right side
    4,614,278x = 98,774,020,774,144
  5. Step 5: Solve for x
    x = 98,774,020,774,144/4,614,278
  6. Step 6: Final answer
    x = 21,406,170.32

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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.