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Finding the Third Proportional to 35,207,784 and 53,857,791

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Solution

The third proportional to 35,207,784 and 53,857,791 is: 82,386,941.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,207,784 : 53,857,791 = 53,857,791 : x
  2. Step 2: Convert to fraction form
    35,207,784/53,857,791 = 53,857,791/x
  3. Step 3: Cross multiply
    35,207,784x = 53,857,791 × 53,857,791
  4. Step 4: Simplify right side
    35,207,784x = 2,900,661,651,399,681
  5. Step 5: Solve for x
    x = 2,900,661,651,399,681/35,207,784
  6. Step 6: Final answer
    x = 82,386,941.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.