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Finding the Third Proportional to 1,129,810,472 and 2,437,974,736

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Solution

The third proportional to 1,129,810,472 and 2,437,974,736 is: 5,260,812,287.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,810,472 : 2,437,974,736 = 2,437,974,736 : x
  2. Step 2: Convert to fraction form
    1,129,810,472/2,437,974,736 = 2,437,974,736/x
  3. Step 3: Cross multiply
    1,129,810,472x = 2,437,974,736 × 2,437,974,736
  4. Step 4: Simplify right side
    1,129,810,472x = 5,943,720,813,374,269,440
  5. Step 5: Solve for x
    x = 5,943,720,813,374,269,440/1,129,810,472
  6. Step 6: Final answer
    x = 5,260,812,287.26

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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.