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Finding the Third Proportional to 54,935,069,688 and 117,818,695,874

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Solution

The third proportional to 54,935,069,688 and 117,818,695,874 is: 252,684,581,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,935,069,688 : 117,818,695,874 = 117,818,695,874 : x
  2. Step 2: Convert to fraction form
    54,935,069,688/117,818,695,874 = 117,818,695,874/x
  3. Step 3: Cross multiply
    54,935,069,688x = 117,818,695,874 × 117,818,695,874
  4. Step 4: Simplify right side
    54,935,069,688x = 13,881,245,097,450,104,946,688
  5. Step 5: Solve for x
    x = 13,881,245,097,450,104,946,688/54,935,069,688
  6. Step 6: Final answer
    x = 252,684,581,566.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.