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Finding the Third Proportional to 84,487,922,798.25 and 179,048,778,309

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Solution

The third proportional to 84,487,922,798.25 and 179,048,778,309 is: 379,444,350,768.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,487,922,798.25 : 179,048,778,309 = 179,048,778,309 : x
  2. Step 2: Convert to fraction form
    84,487,922,798.25/179,048,778,309 = 179,048,778,309/x
  3. Step 3: Cross multiply
    84,487,922,798.25x = 179,048,778,309 × 179,048,778,309
  4. Step 4: Simplify right side
    84,487,922,798.25x = 32,058,465,013,945,428,082,688
  5. Step 5: Solve for x
    x = 32,058,465,013,945,428,082,688/84,487,922,798.25
  6. Step 6: Final answer
    x = 379,444,350,768.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.