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Finding the Third Proportional to 2,651,639,664 and 3,686,893,944

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Solution

The third proportional to 2,651,639,664 and 3,686,893,944 is: 5,126,332,638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,651,639,664 : 3,686,893,944 = 3,686,893,944 : x
  2. Step 2: Convert to fraction form
    2,651,639,664/3,686,893,944 = 3,686,893,944/x
  3. Step 3: Cross multiply
    2,651,639,664x = 3,686,893,944 × 3,686,893,944
  4. Step 4: Simplify right side
    2,651,639,664x = 13,593,186,954,303,875,072
  5. Step 5: Solve for x
    x = 13,593,186,954,303,875,072/2,651,639,664
  6. Step 6: Final answer
    x = 5,126,332,638.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.