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Finding the Third Proportional to 493,697,088 and 1,061,693,856

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Solution

The third proportional to 493,697,088 and 1,061,693,856 is: 2,283,168,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,697,088 : 1,061,693,856 = 1,061,693,856 : x
  2. Step 2: Convert to fraction form
    493,697,088/1,061,693,856 = 1,061,693,856/x
  3. Step 3: Cross multiply
    493,697,088x = 1,061,693,856 × 1,061,693,856
  4. Step 4: Simplify right side
    493,697,088x = 1,127,193,843,868,148,736
  5. Step 5: Solve for x
    x = 1,127,193,843,868,148,736/493,697,088
  6. Step 6: Final answer
    x = 2,283,168,913.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.