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Finding the Third Proportional to 2,118,046,089 and 4,617,459,642

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Solution

The third proportional to 2,118,046,089 and 4,617,459,642 is: 10,066,321,812.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118,046,089 : 4,617,459,642 = 4,617,459,642 : x
  2. Step 2: Convert to fraction form
    2,118,046,089/4,617,459,642 = 4,617,459,642/x
  3. Step 3: Cross multiply
    2,118,046,089x = 4,617,459,642 × 4,617,459,642
  4. Step 4: Simplify right side
    2,118,046,089x = 21,320,933,545,498,767,360
  5. Step 5: Solve for x
    x = 21,320,933,545,498,767,360/2,118,046,089
  6. Step 6: Final answer
    x = 10,066,321,812.46

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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.