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Finding the Third Proportional to 637,100,889,274 and 1,365,076,096,586

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Solution

The third proportional to 637,100,889,274 and 1,365,076,096,586 is: 2,924,862,891,957.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,100,889,274 : 1,365,076,096,586 = 1,365,076,096,586 : x
  2. Step 2: Convert to fraction form
    637,100,889,274/1,365,076,096,586 = 1,365,076,096,586/x
  3. Step 3: Cross multiply
    637,100,889,274x = 1,365,076,096,586 × 1,365,076,096,586
  4. Step 4: Simplify right side
    637,100,889,274x = 1,863,432,749,470,470,450,970,624
  5. Step 5: Solve for x
    x = 1,863,432,749,470,470,450,970,624/637,100,889,274
  6. Step 6: Final answer
    x = 2,924,862,891,957.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.