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Finding the Third Proportional to 745,177,029,444 and 1,620,916,785,576

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Solution

The third proportional to 745,177,029,444 and 1,620,916,785,576 is: 3,525,834,965,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,177,029,444 : 1,620,916,785,576 = 1,620,916,785,576 : x
  2. Step 2: Convert to fraction form
    745,177,029,444/1,620,916,785,576 = 1,620,916,785,576/x
  3. Step 3: Cross multiply
    745,177,029,444x = 1,620,916,785,576 × 1,620,916,785,576
  4. Step 4: Simplify right side
    745,177,029,444x = 2,627,371,225,762,032,219,324,416
  5. Step 5: Solve for x
    x = 2,627,371,225,762,032,219,324,416/745,177,029,444
  6. Step 6: Final answer
    x = 3,525,834,965,313.41

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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.