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Finding the Third Proportional to 20,746,999.13 and 45,671,284.69

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Solution

The third proportional to 20,746,999.13 and 45,671,284.69 is: 100,538,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,746,999.13 : 45,671,284.69 = 45,671,284.69 : x
  2. Step 2: Convert to fraction form
    20,746,999.13/45,671,284.69 = 45,671,284.69/x
  3. Step 3: Cross multiply
    20,746,999.13x = 45,671,284.69 × 45,671,284.69
  4. Step 4: Simplify right side
    20,746,999.13x = 2,085,866,245,006,672
  5. Step 5: Solve for x
    x = 2,085,866,245,006,672/20,746,999.13
  6. Step 6: Final answer
    x = 100,538,214.34

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.