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Finding the Third Proportional to 851,874,788.75 and 1,308,583,977.50

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Solution

The third proportional to 851,874,788.75 and 1,308,583,977.50 is: 2,010,145,210.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    851,874,788.75 : 1,308,583,977.50 = 1,308,583,977.50 : x
  2. Step 2: Convert to fraction form
    851,874,788.75/1,308,583,977.50 = 1,308,583,977.50/x
  3. Step 3: Cross multiply
    851,874,788.75x = 1,308,583,977.50 × 1,308,583,977.50
  4. Step 4: Simplify right side
    851,874,788.75x = 1,712,392,026,169,720,576
  5. Step 5: Solve for x
    x = 1,712,392,026,169,720,576/851,874,788.75
  6. Step 6: Final answer
    x = 2,010,145,210.05

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Why These Related Problems?

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