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Finding the Third Proportional to 197,461,632 and 425,267,640

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Solution

The third proportional to 197,461,632 and 425,267,640 is: 915,887,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,461,632 : 425,267,640 = 425,267,640 : x
  2. Step 2: Convert to fraction form
    197,461,632/425,267,640 = 425,267,640/x
  3. Step 3: Cross multiply
    197,461,632x = 425,267,640 × 425,267,640
  4. Step 4: Simplify right side
    197,461,632x = 180,852,565,631,169,600
  5. Step 5: Solve for x
    x = 180,852,565,631,169,600/197,461,632
  6. Step 6: Final answer
    x = 915,887,120.95

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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.