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Finding the Third Proportional to 12,572,046,906 and 27,376,146,024

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Solution

The third proportional to 12,572,046,906 and 27,376,146,024 is: 59,612,676,975.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572,046,906 : 27,376,146,024 = 27,376,146,024 : x
  2. Step 2: Convert to fraction form
    12,572,046,906/27,376,146,024 = 27,376,146,024/x
  3. Step 3: Cross multiply
    12,572,046,906x = 27,376,146,024 × 27,376,146,024
  4. Step 4: Simplify right side
    12,572,046,906x = 749,453,371,127,371,005,952
  5. Step 5: Solve for x
    x = 749,453,371,127,371,005,952/12,572,046,906
  6. Step 6: Final answer
    x = 59,612,676,975.43

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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.