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Finding the Third Proportional to 44,754,588,871,144 and 97,389,906,407,604

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Solution

The third proportional to 44,754,588,871,144 and 97,389,906,407,604 is: 211,928,968,834,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,754,588,871,144 : 97,389,906,407,604 = 97,389,906,407,604 : x
  2. Step 2: Convert to fraction form
    44,754,588,871,144/97,389,906,407,604 = 97,389,906,407,604/x
  3. Step 3: Cross multiply
    44,754,588,871,144x = 97,389,906,407,604 × 97,389,906,407,604
  4. Step 4: Simplify right side
    44,754,588,871,144x = 9,484,793,870,081,866,465,993,031,680
  5. Step 5: Solve for x
    x = 9,484,793,870,081,866,465,993,031,680/44,754,588,871,144
  6. Step 6: Final answer
    x = 211,928,968,834,686.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.