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Finding the Third Proportional to 449,483,140,854 and 649,425,518,229

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Solution

The third proportional to 449,483,140,854 and 649,425,518,229 is: 938,307,725,904.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,483,140,854 : 649,425,518,229 = 649,425,518,229 : x
  2. Step 2: Convert to fraction form
    449,483,140,854/649,425,518,229 = 649,425,518,229/x
  3. Step 3: Cross multiply
    449,483,140,854x = 649,425,518,229 × 649,425,518,229
  4. Step 4: Simplify right side
    449,483,140,854x = 421,753,503,727,005,217,062,912
  5. Step 5: Solve for x
    x = 421,753,503,727,005,217,062,912/449,483,140,854
  6. Step 6: Final answer
    x = 938,307,725,904.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.