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Finding the Third Proportional to 665,555,722.31 and 1,038,625,094.53

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Solution

The third proportional to 665,555,722.31 and 1,038,625,094.53 is: 1,620,814,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,555,722.31 : 1,038,625,094.53 = 1,038,625,094.53 : x
  2. Step 2: Convert to fraction form
    665,555,722.31/1,038,625,094.53 = 1,038,625,094.53/x
  3. Step 3: Cross multiply
    665,555,722.31x = 1,038,625,094.53 × 1,038,625,094.53
  4. Step 4: Simplify right side
    665,555,722.31x = 1,078,742,086,989,944,192
  5. Step 5: Solve for x
    x = 1,078,742,086,989,944,192/665,555,722.31
  6. Step 6: Final answer
    x = 1,620,814,081.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.