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Finding the Third Proportional to 4,533,313 and 9,864,146

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Solution

The third proportional to 4,533,313 and 9,864,146 is: 21,463,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,313 : 9,864,146 = 9,864,146 : x
  2. Step 2: Convert to fraction form
    4,533,313/9,864,146 = 9,864,146/x
  3. Step 3: Cross multiply
    4,533,313x = 9,864,146 × 9,864,146
  4. Step 4: Simplify right side
    4,533,313x = 97,301,376,309,316
  5. Step 5: Solve for x
    x = 97,301,376,309,316/4,533,313
  6. Step 6: Final answer
    x = 21,463,635.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.