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Finding the Third Proportional to 2,911,420.31 and 6,124,023.75

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Solution

The third proportional to 2,911,420.31 and 6,124,023.75 is: 12,881,570.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911,420.31 : 6,124,023.75 = 6,124,023.75 : x
  2. Step 2: Convert to fraction form
    2,911,420.31/6,124,023.75 = 6,124,023.75/x
  3. Step 3: Cross multiply
    2,911,420.31x = 6,124,023.75 × 6,124,023.75
  4. Step 4: Simplify right side
    2,911,420.31x = 37,503,666,890,564.06
  5. Step 5: Solve for x
    x = 37,503,666,890,564.06/2,911,420.31
  6. Step 6: Final answer
    x = 12,881,570.80

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.