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Finding the Third Proportional to 2,095,341,166 and 4,562,691,033

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Solution

The third proportional to 2,095,341,166 and 4,562,691,033 is: 9,935,446,217.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,341,166 : 4,562,691,033 = 4,562,691,033 : x
  2. Step 2: Convert to fraction form
    2,095,341,166/4,562,691,033 = 4,562,691,033/x
  3. Step 3: Cross multiply
    2,095,341,166x = 4,562,691,033 × 4,562,691,033
  4. Step 4: Simplify right side
    2,095,341,166x = 20,818,149,462,618,607,616
  5. Step 5: Solve for x
    x = 20,818,149,462,618,607,616/2,095,341,166
  6. Step 6: Final answer
    x = 9,935,446,217.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.