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Finding the Third Proportional to 36,671,387,944 and 78,570,563,840

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Solution

The third proportional to 36,671,387,944 and 78,570,563,840 is: 168,341,964,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,671,387,944 : 78,570,563,840 = 78,570,563,840 : x
  2. Step 2: Convert to fraction form
    36,671,387,944/78,570,563,840 = 78,570,563,840/x
  3. Step 3: Cross multiply
    36,671,387,944x = 78,570,563,840 × 78,570,563,840
  4. Step 4: Simplify right side
    36,671,387,944x = 6,173,333,502,135,515,480,064
  5. Step 5: Solve for x
    x = 6,173,333,502,135,515,480,064/36,671,387,944
  6. Step 6: Final answer
    x = 168,341,964,900.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.