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Finding the Third Proportional to 6,837,534 and 14,590,332

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Solution

The third proportional to 6,837,534 and 14,590,332 is: 31,133,708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,534 : 14,590,332 = 14,590,332 : x
  2. Step 2: Convert to fraction form
    6,837,534/14,590,332 = 14,590,332/x
  3. Step 3: Cross multiply
    6,837,534x = 14,590,332 × 14,590,332
  4. Step 4: Simplify right side
    6,837,534x = 212,877,787,870,224
  5. Step 5: Solve for x
    x = 212,877,787,870,224/6,837,534
  6. Step 6: Final answer
    x = 31,133,708.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.