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Finding the Third Proportional to 1,949,079,684 and 4,208,808,868

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Solution

The third proportional to 1,949,079,684 and 4,208,808,868 is: 9,088,428,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,079,684 : 4,208,808,868 = 4,208,808,868 : x
  2. Step 2: Convert to fraction form
    1,949,079,684/4,208,808,868 = 4,208,808,868/x
  3. Step 3: Cross multiply
    1,949,079,684x = 4,208,808,868 × 4,208,808,868
  4. Step 4: Simplify right side
    1,949,079,684x = 17,714,072,087,355,441,152
  5. Step 5: Solve for x
    x = 17,714,072,087,355,441,152/1,949,079,684
  6. Step 6: Final answer
    x = 9,088,428,878.91

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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.