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Finding the Third Proportional to 635,786,146,920 and 977,248,891,382

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Solution

The third proportional to 635,786,146,920 and 977,248,891,382 is: 1,502,101,611,263.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,786,146,920 : 977,248,891,382 = 977,248,891,382 : x
  2. Step 2: Convert to fraction form
    635,786,146,920/977,248,891,382 = 977,248,891,382/x
  3. Step 3: Cross multiply
    635,786,146,920x = 977,248,891,382 × 977,248,891,382
  4. Step 4: Simplify right side
    635,786,146,920x = 955,015,395,707,348,028,751,872
  5. Step 5: Solve for x
    x = 955,015,395,707,348,028,751,872/635,786,146,920
  6. Step 6: Final answer
    x = 1,502,101,611,263.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.