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Finding the Third Proportional to 4,973,707.13 and 7,908,978.38

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Solution

The third proportional to 4,973,707.13 and 7,908,978.38 is: 12,576,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,707.13 : 7,908,978.38 = 7,908,978.38 : x
  2. Step 2: Convert to fraction form
    4,973,707.13/7,908,978.38 = 7,908,978.38/x
  3. Step 3: Cross multiply
    4,973,707.13x = 7,908,978.38 × 7,908,978.38
  4. Step 4: Simplify right side
    4,973,707.13x = 62,551,938,936,217.64
  5. Step 5: Solve for x
    x = 62,551,938,936,217.64/4,973,707.13
  6. Step 6: Final answer
    x = 12,576,522.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.