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Finding the Third Proportional to 870,649,064 and 1,331,295,248

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Solution

The third proportional to 870,649,064 and 1,331,295,248 is: 2,035,661,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,649,064 : 1,331,295,248 = 1,331,295,248 : x
  2. Step 2: Convert to fraction form
    870,649,064/1,331,295,248 = 1,331,295,248/x
  3. Step 3: Cross multiply
    870,649,064x = 1,331,295,248 × 1,331,295,248
  4. Step 4: Simplify right side
    870,649,064x = 1,772,347,037,347,381,504
  5. Step 5: Solve for x
    x = 1,772,347,037,347,381,504/870,649,064
  6. Step 6: Final answer
    x = 2,035,661,796.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.