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Finding the Third Proportional to 3,055,949,002 and 6,547,546,999

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Solution

The third proportional to 3,055,949,002 and 6,547,546,999 is: 14,028,497,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,055,949,002 : 6,547,546,999 = 6,547,546,999 : x
  2. Step 2: Convert to fraction form
    3,055,949,002/6,547,546,999 = 6,547,546,999/x
  3. Step 3: Cross multiply
    3,055,949,002x = 6,547,546,999 × 6,547,546,999
  4. Step 4: Simplify right side
    3,055,949,002x = 42,870,371,704,113,905,664
  5. Step 5: Solve for x
    x = 42,870,371,704,113,905,664/3,055,949,002
  6. Step 6: Final answer
    x = 14,028,497,097.32

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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.