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Finding the Third Proportional to 2,355,106,802 and 5,137,993,717

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Solution

The third proportional to 2,355,106,802 and 5,137,993,717 is: 11,209,249,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,355,106,802 : 5,137,993,717 = 5,137,993,717 : x
  2. Step 2: Convert to fraction form
    2,355,106,802/5,137,993,717 = 5,137,993,717/x
  3. Step 3: Cross multiply
    2,355,106,802x = 5,137,993,717 × 5,137,993,717
  4. Step 4: Simplify right side
    2,355,106,802x = 26,398,979,435,931,475,968
  5. Step 5: Solve for x
    x = 26,398,979,435,931,475,968/2,355,106,802
  6. Step 6: Final answer
    x = 11,209,249,369.72

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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.