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Finding the Third Proportional to 239,705,683,651 and 521,609,223,733

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Solution

The third proportional to 239,705,683,651 and 521,609,223,733 is: 1,135,042,682,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,683,651 : 521,609,223,733 = 521,609,223,733 : x
  2. Step 2: Convert to fraction form
    239,705,683,651/521,609,223,733 = 521,609,223,733/x
  3. Step 3: Cross multiply
    239,705,683,651x = 521,609,223,733 × 521,609,223,733
  4. Step 4: Simplify right side
    239,705,683,651x = 272,076,182,283,342,837,710,848
  5. Step 5: Solve for x
    x = 272,076,182,283,342,837,710,848/239,705,683,651
  6. Step 6: Final answer
    x = 1,135,042,682,923.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.