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Finding the Third Proportional to 6,881,024 and 10,929,784

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Solution

The third proportional to 6,881,024 and 10,929,784 is: 17,360,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881,024 : 10,929,784 = 10,929,784 : x
  2. Step 2: Convert to fraction form
    6,881,024/10,929,784 = 10,929,784/x
  3. Step 3: Cross multiply
    6,881,024x = 10,929,784 × 10,929,784
  4. Step 4: Simplify right side
    6,881,024x = 119,460,178,286,656
  5. Step 5: Solve for x
    x = 119,460,178,286,656/6,881,024
  6. Step 6: Final answer
    x = 17,360,814.07

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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.