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Finding the Third Proportional to 1,289,615,586 and 2,812,688,136.75

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Solution

The third proportional to 1,289,615,586 and 2,812,688,136.75 is: 6,134,552,529.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,615,586 : 2,812,688,136.75 = 2,812,688,136.75 : x
  2. Step 2: Convert to fraction form
    1,289,615,586/2,812,688,136.75 = 2,812,688,136.75/x
  3. Step 3: Cross multiply
    1,289,615,586x = 2,812,688,136.75 × 2,812,688,136.75
  4. Step 4: Simplify right side
    1,289,615,586x = 7,911,214,554,614,187,008
  5. Step 5: Solve for x
    x = 7,911,214,554,614,187,008/1,289,615,586
  6. Step 6: Final answer
    x = 6,134,552,529.06

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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.