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Finding the Third Proportional to 2,047,223,964 and 4,420,664,136

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Solution

The third proportional to 2,047,223,964 and 4,420,664,136 is: 9,545,741,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047,223,964 : 4,420,664,136 = 4,420,664,136 : x
  2. Step 2: Convert to fraction form
    2,047,223,964/4,420,664,136 = 4,420,664,136/x
  3. Step 3: Cross multiply
    2,047,223,964x = 4,420,664,136 × 4,420,664,136
  4. Step 4: Simplify right side
    2,047,223,964x = 19,542,271,403,316,625,408
  5. Step 5: Solve for x
    x = 19,542,271,403,316,625,408/2,047,223,964
  6. Step 6: Final answer
    x = 9,545,741,817.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.