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Finding the Third Proportional to 671,533,477.59 and 1,445,103,627.19

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Solution

The third proportional to 671,533,477.59 and 1,445,103,627.19 is: 3,109,784,639.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,533,477.59 : 1,445,103,627.19 = 1,445,103,627.19 : x
  2. Step 2: Convert to fraction form
    671,533,477.59/1,445,103,627.19 = 1,445,103,627.19/x
  3. Step 3: Cross multiply
    671,533,477.59x = 1,445,103,627.19 × 1,445,103,627.19
  4. Step 4: Simplify right side
    671,533,477.59x = 2,088,324,493,310,468,864
  5. Step 5: Solve for x
    x = 2,088,324,493,310,468,864/671,533,477.59
  6. Step 6: Final answer
    x = 3,109,784,639.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.