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Finding the Third Proportional to 1,186,157,774 and 2,470,492,165

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Solution

The third proportional to 1,186,157,774 and 2,470,492,165 is: 5,145,463,505.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186,157,774 : 2,470,492,165 = 2,470,492,165 : x
  2. Step 2: Convert to fraction form
    1,186,157,774/2,470,492,165 = 2,470,492,165/x
  3. Step 3: Cross multiply
    1,186,157,774x = 2,470,492,165 × 2,470,492,165
  4. Step 4: Simplify right side
    1,186,157,774x = 6,103,331,537,326,387,200
  5. Step 5: Solve for x
    x = 6,103,331,537,326,387,200/1,186,157,774
  6. Step 6: Final answer
    x = 5,145,463,505.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.