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Finding the Third Proportional to 369,804,803.91 and 813,569,680.13

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Solution

The third proportional to 369,804,803.91 and 813,569,680.13 is: 1,789,851,341.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,804,803.91 : 813,569,680.13 = 813,569,680.13 : x
  2. Step 2: Convert to fraction form
    369,804,803.91/813,569,680.13 = 813,569,680.13/x
  3. Step 3: Cross multiply
    369,804,803.91x = 813,569,680.13 × 813,569,680.13
  4. Step 4: Simplify right side
    369,804,803.91x = 661,895,624,418,694,784
  5. Step 5: Solve for x
    x = 661,895,624,418,694,784/369,804,803.91
  6. Step 6: Final answer
    x = 1,789,851,341.65

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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.