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Finding the Third Proportional to 899,265,064 and 1,348,897,595.63

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Solution

The third proportional to 899,265,064 and 1,348,897,595.63 is: 2,023,346,392.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,265,064 : 1,348,897,595.63 = 1,348,897,595.63 : x
  2. Step 2: Convert to fraction form
    899,265,064/1,348,897,595.63 = 1,348,897,595.63/x
  3. Step 3: Cross multiply
    899,265,064x = 1,348,897,595.63 × 1,348,897,595.63
  4. Step 4: Simplify right side
    899,265,064x = 1,819,524,723,482,906,112
  5. Step 5: Solve for x
    x = 1,819,524,723,482,906,112/899,265,064
  6. Step 6: Final answer
    x = 2,023,346,392.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.