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Finding the Third Proportional to 2,973,357 and 4,725,877.50

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Solution

The third proportional to 2,973,357 and 4,725,877.50 is: 7,511,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973,357 : 4,725,877.50 = 4,725,877.50 : x
  2. Step 2: Convert to fraction form
    2,973,357/4,725,877.50 = 4,725,877.50/x
  3. Step 3: Cross multiply
    2,973,357x = 4,725,877.50 × 4,725,877.50
  4. Step 4: Simplify right side
    2,973,357x = 22,333,918,145,006.25
  5. Step 5: Solve for x
    x = 22,333,918,145,006.25/2,973,357
  6. Step 6: Final answer
    x = 7,511,347.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.