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Finding the Third Proportional to 545,789,710 and 1,187,207,212

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Solution

The third proportional to 545,789,710 and 1,187,207,212 is: 2,582,424,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,789,710 : 1,187,207,212 = 1,187,207,212 : x
  2. Step 2: Convert to fraction form
    545,789,710/1,187,207,212 = 1,187,207,212/x
  3. Step 3: Cross multiply
    545,789,710x = 1,187,207,212 × 1,187,207,212
  4. Step 4: Simplify right side
    545,789,710x = 1,409,460,964,224,813,056
  5. Step 5: Solve for x
    x = 1,409,460,964,224,813,056/545,789,710
  6. Step 6: Final answer
    x = 2,582,424,949.39

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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.