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Finding the Third Proportional to 6,001,526 and 13,141,426

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Solution

The third proportional to 6,001,526 and 13,141,426 is: 28,775,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001,526 : 13,141,426 = 13,141,426 : x
  2. Step 2: Convert to fraction form
    6,001,526/13,141,426 = 13,141,426/x
  3. Step 3: Cross multiply
    6,001,526x = 13,141,426 × 13,141,426
  4. Step 4: Simplify right side
    6,001,526x = 172,697,077,313,476
  5. Step 5: Solve for x
    x = 172,697,077,313,476/6,001,526
  6. Step 6: Final answer
    x = 28,775,527.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.