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Finding the Third Proportional to 850,420,714.75 and 1,331,140,688.13

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Solution

The third proportional to 850,420,714.75 and 1,331,140,688.13 is: 2,083,598,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    850,420,714.75 : 1,331,140,688.13 = 1,331,140,688.13 : x
  2. Step 2: Convert to fraction form
    850,420,714.75/1,331,140,688.13 = 1,331,140,688.13/x
  3. Step 3: Cross multiply
    850,420,714.75x = 1,331,140,688.13 × 1,331,140,688.13
  4. Step 4: Simplify right side
    850,420,714.75x = 1,771,935,531,581,898,496
  5. Step 5: Solve for x
    x = 1,771,935,531,581,898,496/850,420,714.75
  6. Step 6: Final answer
    x = 2,083,598,742.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.