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Finding the Third Proportional to 3,121,410,617 and 4,509,899,312

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Solution

The third proportional to 3,121,410,617 and 4,509,899,312 is: 6,516,025,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121,410,617 : 4,509,899,312 = 4,509,899,312 : x
  2. Step 2: Convert to fraction form
    3,121,410,617/4,509,899,312 = 4,509,899,312/x
  3. Step 3: Cross multiply
    3,121,410,617x = 4,509,899,312 × 4,509,899,312
  4. Step 4: Simplify right side
    3,121,410,617x = 20,339,191,804,378,075,136
  5. Step 5: Solve for x
    x = 20,339,191,804,378,075,136/3,121,410,617
  6. Step 6: Final answer
    x = 6,516,025,701.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.