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Finding the Third Proportional to 556,925,822.44 and 1,180,239,108.19

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Solution

The third proportional to 556,925,822.44 and 1,180,239,108.19 is: 2,501,166,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,925,822.44 : 1,180,239,108.19 = 1,180,239,108.19 : x
  2. Step 2: Convert to fraction form
    556,925,822.44/1,180,239,108.19 = 1,180,239,108.19/x
  3. Step 3: Cross multiply
    556,925,822.44x = 1,180,239,108.19 × 1,180,239,108.19
  4. Step 4: Simplify right side
    556,925,822.44x = 1,392,964,352,495,225,344
  5. Step 5: Solve for x
    x = 1,392,964,352,495,225,344/556,925,822.44
  6. Step 6: Final answer
    x = 2,501,166,755.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.