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Finding the Third Proportional to 326,134,323 and 493,948,773

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Solution

The third proportional to 326,134,323 and 493,948,773 is: 748,113,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,134,323 : 493,948,773 = 493,948,773 : x
  2. Step 2: Convert to fraction form
    326,134,323/493,948,773 = 493,948,773/x
  3. Step 3: Cross multiply
    326,134,323x = 493,948,773 × 493,948,773
  4. Step 4: Simplify right side
    326,134,323x = 243,985,390,348,205,536
  5. Step 5: Solve for x
    x = 243,985,390,348,205,536/326,134,323
  6. Step 6: Final answer
    x = 748,113,194.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.