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Finding the Third Proportional to 518,539,518 and 1,140,507,823.50

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Solution

The third proportional to 518,539,518 and 1,140,507,823.50 is: 2,508,503,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,539,518 : 1,140,507,823.50 = 1,140,507,823.50 : x
  2. Step 2: Convert to fraction form
    518,539,518/1,140,507,823.50 = 1,140,507,823.50/x
  3. Step 3: Cross multiply
    518,539,518x = 1,140,507,823.50 × 1,140,507,823.50
  4. Step 4: Simplify right side
    518,539,518x = 1,300,758,095,464,707,072
  5. Step 5: Solve for x
    x = 1,300,758,095,464,707,072/518,539,518
  6. Step 6: Final answer
    x = 2,508,503,306.52

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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.