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Finding the Third Proportional to 7,767,084 and 16,513,944

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Solution

The third proportional to 7,767,084 and 16,513,944 is: 35,111,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767,084 : 16,513,944 = 16,513,944 : x
  2. Step 2: Convert to fraction form
    7,767,084/16,513,944 = 16,513,944/x
  3. Step 3: Cross multiply
    7,767,084x = 16,513,944 × 16,513,944
  4. Step 4: Simplify right side
    7,767,084x = 272,710,346,435,136
  5. Step 5: Solve for x
    x = 272,710,346,435,136/7,767,084
  6. Step 6: Final answer
    x = 35,111,033.49

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