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Finding the Third Proportional to 4,531,477,354.50 and 6,998,454,862.50

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Solution

The third proportional to 4,531,477,354.50 and 6,998,454,862.50 is: 10,808,477,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531,477,354.50 : 6,998,454,862.50 = 6,998,454,862.50 : x
  2. Step 2: Convert to fraction form
    4,531,477,354.50/6,998,454,862.50 = 6,998,454,862.50/x
  3. Step 3: Cross multiply
    4,531,477,354.50x = 6,998,454,862.50 × 6,998,454,862.50
  4. Step 4: Simplify right side
    4,531,477,354.50x = 48,978,370,462,449,893,376
  5. Step 5: Solve for x
    x = 48,978,370,462,449,893,376/4,531,477,354.50
  6. Step 6: Final answer
    x = 10,808,477,375.22

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.