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Finding the Third Proportional to 239,705,683,802 and 521,609,224,032

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Solution

The third proportional to 239,705,683,802 and 521,609,224,032 is: 1,135,042,683,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,683,802 : 521,609,224,032 = 521,609,224,032 : x
  2. Step 2: Convert to fraction form
    239,705,683,802/521,609,224,032 = 521,609,224,032/x
  3. Step 3: Cross multiply
    239,705,683,802x = 521,609,224,032 × 521,609,224,032
  4. Step 4: Simplify right side
    239,705,683,802x = 272,076,182,595,265,173,127,168
  5. Step 5: Solve for x
    x = 272,076,182,595,265,173,127,168/239,705,683,802
  6. Step 6: Final answer
    x = 1,135,042,683,510.18

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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.