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Finding the Third Proportional to 36,051,794,946 and 52,997,737,871

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Solution

The third proportional to 36,051,794,946 and 52,997,737,871 is: 77,909,025,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,051,794,946 : 52,997,737,871 = 52,997,737,871 : x
  2. Step 2: Convert to fraction form
    36,051,794,946/52,997,737,871 = 52,997,737,871/x
  3. Step 3: Cross multiply
    36,051,794,946x = 52,997,737,871 × 52,997,737,871
  4. Step 4: Simplify right side
    36,051,794,946x = 2,808,760,219,443,227,787,264
  5. Step 5: Solve for x
    x = 2,808,760,219,443,227,787,264/36,051,794,946
  6. Step 6: Final answer
    x = 77,909,025,712.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.