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Finding the Third Proportional to 27,632,001,179 and 42,446,133,685

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Solution

The third proportional to 27,632,001,179 and 42,446,133,685 is: 65,202,453,240.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,632,001,179 : 42,446,133,685 = 42,446,133,685 : x
  2. Step 2: Convert to fraction form
    27,632,001,179/42,446,133,685 = 42,446,133,685/x
  3. Step 3: Cross multiply
    27,632,001,179x = 42,446,133,685 × 42,446,133,685
  4. Step 4: Simplify right side
    27,632,001,179x = 1,801,674,264,804,891,557,888
  5. Step 5: Solve for x
    x = 1,801,674,264,804,891,557,888/27,632,001,179
  6. Step 6: Final answer
    x = 65,202,453,240.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.