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Finding the Third Proportional to 627,569,210.53 and 1,368,136,223.16

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Solution

The third proportional to 627,569,210.53 and 1,368,136,223.16 is: 2,982,614,018.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,569,210.53 : 1,368,136,223.16 = 1,368,136,223.16 : x
  2. Step 2: Convert to fraction form
    627,569,210.53/1,368,136,223.16 = 1,368,136,223.16/x
  3. Step 3: Cross multiply
    627,569,210.53x = 1,368,136,223.16 × 1,368,136,223.16
  4. Step 4: Simplify right side
    627,569,210.53x = 1,871,796,725,112,111,360
  5. Step 5: Solve for x
    x = 1,871,796,725,112,111,360/627,569,210.53
  6. Step 6: Final answer
    x = 2,982,614,018.82

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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.