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Finding the Third Proportional to 35,261,698.50 and 53,425,842.75

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Solution

The third proportional to 35,261,698.50 and 53,425,842.75 is: 80,946,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,261,698.50 : 53,425,842.75 = 53,425,842.75 : x
  2. Step 2: Convert to fraction form
    35,261,698.50/53,425,842.75 = 53,425,842.75/x
  3. Step 3: Cross multiply
    35,261,698.50x = 53,425,842.75 × 53,425,842.75
  4. Step 4: Simplify right side
    35,261,698.50x = 2,854,320,673,547,727.50
  5. Step 5: Solve for x
    x = 2,854,320,673,547,727.50/35,261,698.50
  6. Step 6: Final answer
    x = 80,946,772.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.