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Finding the Third Proportional to 5,824,656 and 9,117,259

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Solution

The third proportional to 5,824,656 and 9,117,259 is: 14,271,128.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824,656 : 9,117,259 = 9,117,259 : x
  2. Step 2: Convert to fraction form
    5,824,656/9,117,259 = 9,117,259/x
  3. Step 3: Cross multiply
    5,824,656x = 9,117,259 × 9,117,259
  4. Step 4: Simplify right side
    5,824,656x = 83,124,411,673,081
  5. Step 5: Solve for x
    x = 83,124,411,673,081/5,824,656
  6. Step 6: Final answer
    x = 14,271,128.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.