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Finding the Third Proportional to 2,688,177,824 and 4,216,953,986

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Solution

The third proportional to 2,688,177,824 and 4,216,953,986 is: 6,615,150,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688,177,824 : 4,216,953,986 = 4,216,953,986 : x
  2. Step 2: Convert to fraction form
    2,688,177,824/4,216,953,986 = 4,216,953,986/x
  3. Step 3: Cross multiply
    2,688,177,824x = 4,216,953,986 × 4,216,953,986
  4. Step 4: Simplify right side
    2,688,177,824x = 17,782,700,920,041,287,680
  5. Step 5: Solve for x
    x = 17,782,700,920,041,287,680/2,688,177,824
  6. Step 6: Final answer
    x = 6,615,150,516.19

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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.