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Finding the Third Proportional to 624,569,136.50 and 1,371,727,457.50

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Solution

The third proportional to 624,569,136.50 and 1,371,727,457.50 is: 3,012,694,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,569,136.50 : 1,371,727,457.50 = 1,371,727,457.50 : x
  2. Step 2: Convert to fraction form
    624,569,136.50/1,371,727,457.50 = 1,371,727,457.50/x
  3. Step 3: Cross multiply
    624,569,136.50x = 1,371,727,457.50 × 1,371,727,457.50
  4. Step 4: Simplify right side
    624,569,136.50x = 1,881,636,217,659,414,272
  5. Step 5: Solve for x
    x = 1,881,636,217,659,414,272/624,569,136.50
  6. Step 6: Final answer
    x = 3,012,694,844.65

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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.