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Finding the Third Proportional to 54,046,709,896 and 116,227,263,771

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Solution

The third proportional to 54,046,709,896 and 116,227,263,771 is: 249,946,331,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,046,709,896 : 116,227,263,771 = 116,227,263,771 : x
  2. Step 2: Convert to fraction form
    54,046,709,896/116,227,263,771 = 116,227,263,771/x
  3. Step 3: Cross multiply
    54,046,709,896x = 116,227,263,771 × 116,227,263,771
  4. Step 4: Simplify right side
    54,046,709,896x = 13,508,776,843,693,608,927,232
  5. Step 5: Solve for x
    x = 13,508,776,843,693,608,927,232/54,046,709,896
  6. Step 6: Final answer
    x = 249,946,331,047.50

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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.