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Finding the Third Proportional to 5,670,043 and 13,328,082

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Solution

The third proportional to 5,670,043 and 13,328,082 is: 31,329,175.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670,043 : 13,328,082 = 13,328,082 : x
  2. Step 2: Convert to fraction form
    5,670,043/13,328,082 = 13,328,082/x
  3. Step 3: Cross multiply
    5,670,043x = 13,328,082 × 13,328,082
  4. Step 4: Simplify right side
    5,670,043x = 177,637,769,798,724
  5. Step 5: Solve for x
    x = 177,637,769,798,724/5,670,043
  6. Step 6: Final answer
    x = 31,329,175.07

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.