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Finding the Third Proportional to 6,460,971 and 10,136,781

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Solution

The third proportional to 6,460,971 and 10,136,781 is: 15,903,852.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460,971 : 10,136,781 = 10,136,781 : x
  2. Step 2: Convert to fraction form
    6,460,971/10,136,781 = 10,136,781/x
  3. Step 3: Cross multiply
    6,460,971x = 10,136,781 × 10,136,781
  4. Step 4: Simplify right side
    6,460,971x = 102,754,329,041,961
  5. Step 5: Solve for x
    x = 102,754,329,041,961/6,460,971
  6. Step 6: Final answer
    x = 15,903,852.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.