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Finding the Third Proportional to 2,688,177,830 and 4,216,953,995

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Solution

The third proportional to 2,688,177,830 and 4,216,953,995 is: 6,615,150,529.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,688,177,830 : 4,216,953,995 = 4,216,953,995 : x
  2. Step 2: Convert to fraction form
    2,688,177,830/4,216,953,995 = 4,216,953,995/x
  3. Step 3: Cross multiply
    2,688,177,830x = 4,216,953,995 × 4,216,953,995
  4. Step 4: Simplify right side
    2,688,177,830x = 17,782,700,995,946,459,136
  5. Step 5: Solve for x
    x = 17,782,700,995,946,459,136/2,688,177,830
  6. Step 6: Final answer
    x = 6,615,150,529.66

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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.