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Finding the Third Proportional to 12,572,046,900 and 27,376,146,012

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Solution

The third proportional to 12,572,046,900 and 27,376,146,012 is: 59,612,676,951.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572,046,900 : 27,376,146,012 = 27,376,146,012 : x
  2. Step 2: Convert to fraction form
    12,572,046,900/27,376,146,012 = 27,376,146,012/x
  3. Step 3: Cross multiply
    12,572,046,900x = 27,376,146,012 × 27,376,146,012
  4. Step 4: Simplify right side
    12,572,046,900x = 749,453,370,470,343,507,968
  5. Step 5: Solve for x
    x = 749,453,370,470,343,507,968/12,572,046,900
  6. Step 6: Final answer
    x = 59,612,676,951.62

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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.