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Finding the Third Proportional to 1,129,810,468 and 2,437,974,728

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Solution

The third proportional to 1,129,810,468 and 2,437,974,728 is: 5,260,812,271.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129,810,468 : 2,437,974,728 = 2,437,974,728 : x
  2. Step 2: Convert to fraction form
    1,129,810,468/2,437,974,728 = 2,437,974,728/x
  3. Step 3: Cross multiply
    1,129,810,468x = 2,437,974,728 × 2,437,974,728
  4. Step 4: Simplify right side
    1,129,810,468x = 5,943,720,774,366,673,920
  5. Step 5: Solve for x
    x = 5,943,720,774,366,673,920/1,129,810,468
  6. Step 6: Final answer
    x = 5,260,812,271.36

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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.