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Finding the Third Proportional to 4,533,308 and 9,864,136

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Solution

The third proportional to 4,533,308 and 9,864,136 is: 21,463,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533,308 : 9,864,136 = 9,864,136 : x
  2. Step 2: Convert to fraction form
    4,533,308/9,864,136 = 9,864,136/x
  3. Step 3: Cross multiply
    4,533,308x = 9,864,136 × 9,864,136
  4. Step 4: Simplify right side
    4,533,308x = 97,301,179,026,496
  5. Step 5: Solve for x
    x = 97,301,179,026,496/4,533,308
  6. Step 6: Final answer
    x = 21,463,615.32

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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.