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Finding the Third Proportional to 10,342,819.13 and 14,495,196.38

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Solution

The third proportional to 10,342,819.13 and 14,495,196.38 is: 20,314,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342,819.13 : 14,495,196.38 = 14,495,196.38 : x
  2. Step 2: Convert to fraction form
    10,342,819.13/14,495,196.38 = 14,495,196.38/x
  3. Step 3: Cross multiply
    10,342,819.13x = 14,495,196.38 × 14,495,196.38
  4. Step 4: Simplify right side
    10,342,819.13x = 210,110,717,949,813.12
  5. Step 5: Solve for x
    x = 210,110,717,949,813.12/10,342,819.13
  6. Step 6: Final answer
    x = 20,314,646.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.