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Finding the Third Proportional to 1,082,274,726 and 2,317,604,280

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Solution

The third proportional to 1,082,274,726 and 2,317,604,280 is: 4,962,963,164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,274,726 : 2,317,604,280 = 2,317,604,280 : x
  2. Step 2: Convert to fraction form
    1,082,274,726/2,317,604,280 = 2,317,604,280/x
  3. Step 3: Cross multiply
    1,082,274,726x = 2,317,604,280 × 2,317,604,280
  4. Step 4: Simplify right side
    1,082,274,726x = 5,371,289,598,674,318,336
  5. Step 5: Solve for x
    x = 5,371,289,598,674,318,336/1,082,274,726
  6. Step 6: Final answer
    x = 4,962,963,164.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.