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Finding the Third Proportional to 20,822,248,088 and 31,721,254,654

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Solution

The third proportional to 20,822,248,088 and 31,721,254,654 is: 48,325,137,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,822,248,088 : 31,721,254,654 = 31,721,254,654 : x
  2. Step 2: Convert to fraction form
    20,822,248,088/31,721,254,654 = 31,721,254,654/x
  3. Step 3: Cross multiply
    20,822,248,088x = 31,721,254,654 × 31,721,254,654
  4. Step 4: Simplify right side
    20,822,248,088x = 1,006,237,996,823,916,707,840
  5. Step 5: Solve for x
    x = 1,006,237,996,823,916,707,840/20,822,248,088
  6. Step 6: Final answer
    x = 48,325,137,255.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.