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Finding the Third Proportional to 545,789,708 and 1,187,207,208

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Solution

The third proportional to 545,789,708 and 1,187,207,208 is: 2,582,424,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,789,708 : 1,187,207,208 = 1,187,207,208 : x
  2. Step 2: Convert to fraction form
    545,789,708/1,187,207,208 = 1,187,207,208/x
  3. Step 3: Cross multiply
    545,789,708x = 1,187,207,208 × 1,187,207,208
  4. Step 4: Simplify right side
    545,789,708x = 1,409,460,954,727,155,200
  5. Step 5: Solve for x
    x = 1,409,460,954,727,155,200/545,789,708
  6. Step 6: Final answer
    x = 2,582,424,941.45

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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.