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Finding the Third Proportional to 272,078,178,043 and 589,430,072,304

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Solution

The third proportional to 272,078,178,043 and 589,430,072,304 is: 1,276,941,108,012.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,078,178,043 : 589,430,072,304 = 589,430,072,304 : x
  2. Step 2: Convert to fraction form
    272,078,178,043/589,430,072,304 = 589,430,072,304/x
  3. Step 3: Cross multiply
    272,078,178,043x = 589,430,072,304 × 589,430,072,304
  4. Step 4: Simplify right side
    272,078,178,043x = 347,427,810,136,298,660,823,040
  5. Step 5: Solve for x
    x = 347,427,810,136,298,660,823,040/272,078,178,043
  6. Step 6: Final answer
    x = 1,276,941,108,012.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.