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Finding the Third Proportional to 16,621,896,702,090 and 35,745,331,701,192

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Solution

The third proportional to 16,621,896,702,090 and 35,745,331,701,192 is: 76,870,212,908,228.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,621,896,702,090 : 35,745,331,701,192 = 35,745,331,701,192 : x
  2. Step 2: Convert to fraction form
    16,621,896,702,090/35,745,331,701,192 = 35,745,331,701,192/x
  3. Step 3: Cross multiply
    16,621,896,702,090x = 35,745,331,701,192 × 35,745,331,701,192
  4. Step 4: Simplify right side
    16,621,896,702,090x = 1,277,728,738,428,241,681,062,035,456
  5. Step 5: Solve for x
    x = 1,277,728,738,428,241,681,062,035,456/16,621,896,702,090
  6. Step 6: Final answer
    x = 76,870,212,908,228.64

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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.