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Finding the Third Proportional to 369,028,774 and 813,277,358

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Solution

The third proportional to 369,028,774 and 813,277,358 is: 1,792,326,527.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,028,774 : 813,277,358 = 813,277,358 : x
  2. Step 2: Convert to fraction form
    369,028,774/813,277,358 = 813,277,358/x
  3. Step 3: Cross multiply
    369,028,774x = 813,277,358 × 813,277,358
  4. Step 4: Simplify right side
    369,028,774x = 661,420,061,035,460,224
  5. Step 5: Solve for x
    x = 661,420,061,035,460,224/369,028,774
  6. Step 6: Final answer
    x = 1,792,326,527.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.