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Finding the Third Proportional to 12,111,798,579,235 and 26,060,575,064,756

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Solution

The third proportional to 12,111,798,579,235 and 26,060,575,064,756 is: 56,073,717,562,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,111,798,579,235 : 26,060,575,064,756 = 26,060,575,064,756 : x
  2. Step 2: Convert to fraction form
    12,111,798,579,235/26,060,575,064,756 = 26,060,575,064,756/x
  3. Step 3: Cross multiply
    12,111,798,579,235x = 26,060,575,064,756 × 26,060,575,064,756
  4. Step 4: Simplify right side
    12,111,798,579,235x = 679,153,572,705,782,208,592,347,136
  5. Step 5: Solve for x
    x = 679,153,572,705,782,208,592,347,136/12,111,798,579,235
  6. Step 6: Final answer
    x = 56,073,717,562,489.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.