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Finding the Third Proportional to 429,295,258.50 and 926,575,597.50

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Solution

The third proportional to 429,295,258.50 and 926,575,597.50 is: 1,999,887,771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,295,258.50 : 926,575,597.50 = 926,575,597.50 : x
  2. Step 2: Convert to fraction form
    429,295,258.50/926,575,597.50 = 926,575,597.50/x
  3. Step 3: Cross multiply
    429,295,258.50x = 926,575,597.50 × 926,575,597.50
  4. Step 4: Simplify right side
    429,295,258.50x = 858,542,337,882,482,048
  5. Step 5: Solve for x
    x = 858,542,337,882,482,048/429,295,258.50
  6. Step 6: Final answer
    x = 1,999,887,771.61

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.