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Finding the Third Proportional to 56,827,765 and 122,749,136

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Solution

The third proportional to 56,827,765 and 122,749,136 is: 265,140,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,827,765 : 122,749,136 = 122,749,136 : x
  2. Step 2: Convert to fraction form
    56,827,765/122,749,136 = 122,749,136/x
  3. Step 3: Cross multiply
    56,827,765x = 122,749,136 × 122,749,136
  4. Step 4: Simplify right side
    56,827,765x = 15,067,350,388,746,496
  5. Step 5: Solve for x
    x = 15,067,350,388,746,496/56,827,765
  6. Step 6: Final answer
    x = 265,140,647.16

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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.