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Finding the Third Proportional to 2,688,177,798 and 4,216,953,951

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Solution

The third proportional to 2,688,177,798 and 4,216,953,951 is: 6,615,150,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688,177,798 : 4,216,953,951 = 4,216,953,951 : x
  2. Step 2: Convert to fraction form
    2,688,177,798/4,216,953,951 = 4,216,953,951/x
  3. Step 3: Cross multiply
    2,688,177,798x = 4,216,953,951 × 4,216,953,951
  4. Step 4: Simplify right side
    2,688,177,798x = 17,782,700,624,854,509,568
  5. Step 5: Solve for x
    x = 17,782,700,624,854,509,568/2,688,177,798
  6. Step 6: Final answer
    x = 6,615,150,470.36

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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.