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Finding the Third Proportional to 573,796,958,220 and 1,255,684,685,688

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Solution

The third proportional to 573,796,958,220 and 1,255,684,685,688 is: 2,747,912,841,438.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,796,958,220 : 1,255,684,685,688 = 1,255,684,685,688 : x
  2. Step 2: Convert to fraction form
    573,796,958,220/1,255,684,685,688 = 1,255,684,685,688/x
  3. Step 3: Cross multiply
    573,796,958,220x = 1,255,684,685,688 × 1,255,684,685,688
  4. Step 4: Simplify right side
    573,796,958,220x = 1,576,744,029,871,371,318,198,272
  5. Step 5: Solve for x
    x = 1,576,744,029,871,371,318,198,272/573,796,958,220
  6. Step 6: Final answer
    x = 2,747,912,841,438.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.