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Finding the Third Proportional to 2,945,417,121 and 6,544,637,892

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Solution

The third proportional to 2,945,417,121 and 6,544,637,892 is: 14,542,009,969.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945,417,121 : 6,544,637,892 = 6,544,637,892 : x
  2. Step 2: Convert to fraction form
    2,945,417,121/6,544,637,892 = 6,544,637,892/x
  3. Step 3: Cross multiply
    2,945,417,121x = 6,544,637,892 × 6,544,637,892
  4. Step 4: Simplify right side
    2,945,417,121x = 42,832,285,137,402,200,064
  5. Step 5: Solve for x
    x = 42,832,285,137,402,200,064/2,945,417,121
  6. Step 6: Final answer
    x = 14,542,009,969.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.