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Finding the Third Proportional to 6,411,345 and 13,084,308

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Solution

The third proportional to 6,411,345 and 13,084,308 is: 26,702,527.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411,345 : 13,084,308 = 13,084,308 : x
  2. Step 2: Convert to fraction form
    6,411,345/13,084,308 = 13,084,308/x
  3. Step 3: Cross multiply
    6,411,345x = 13,084,308 × 13,084,308
  4. Step 4: Simplify right side
    6,411,345x = 171,199,115,838,864
  5. Step 5: Solve for x
    x = 171,199,115,838,864/6,411,345
  6. Step 6: Final answer
    x = 26,702,527.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.