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Finding the Third Proportional to 2,698,021,094 and 6,016,404,664

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Solution

The third proportional to 2,698,021,094 and 6,016,404,664 is: 13,416,175,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,021,094 : 6,016,404,664 = 6,016,404,664 : x
  2. Step 2: Convert to fraction form
    2,698,021,094/6,016,404,664 = 6,016,404,664/x
  3. Step 3: Cross multiply
    2,698,021,094x = 6,016,404,664 × 6,016,404,664
  4. Step 4: Simplify right side
    2,698,021,094x = 36,197,125,081,000,951,808
  5. Step 5: Solve for x
    x = 36,197,125,081,000,951,808/2,698,021,094
  6. Step 6: Final answer
    x = 13,416,175,715.42

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.