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Finding the Third Proportional to 2,976,109,801.50 and 4,900,476,062.25

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Solution

The third proportional to 2,976,109,801.50 and 4,900,476,062.25 is: 8,069,146,381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,109,801.50 : 4,900,476,062.25 = 4,900,476,062.25 : x
  2. Step 2: Convert to fraction form
    2,976,109,801.50/4,900,476,062.25 = 4,900,476,062.25/x
  3. Step 3: Cross multiply
    2,976,109,801.50x = 4,900,476,062.25 × 4,900,476,062.25
  4. Step 4: Simplify right side
    2,976,109,801.50x = 24,014,665,636,685,266,944
  5. Step 5: Solve for x
    x = 24,014,665,636,685,266,944/2,976,109,801.50
  6. Step 6: Final answer
    x = 8,069,146,381.82

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.