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Finding the Third Proportional to 3,385,894,258.69 and 7,080,514,230.94

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Solution

The third proportional to 3,385,894,258.69 and 7,080,514,230.94 is: 14,806,629,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385,894,258.69 : 7,080,514,230.94 = 7,080,514,230.94 : x
  2. Step 2: Convert to fraction form
    3,385,894,258.69/7,080,514,230.94 = 7,080,514,230.94/x
  3. Step 3: Cross multiply
    3,385,894,258.69x = 7,080,514,230.94 × 7,080,514,230.94
  4. Step 4: Simplify right side
    3,385,894,258.69x = 50,133,681,774,508,457,984
  5. Step 5: Solve for x
    x = 50,133,681,774,508,457,984/3,385,894,258.69
  6. Step 6: Final answer
    x = 14,806,629,488.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.