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Finding the Third Proportional to 760,391,305,260 and 1,611,439,004,940

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Solution

The third proportional to 760,391,305,260 and 1,611,439,004,940 is: 3,414,999,157,248.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,391,305,260 : 1,611,439,004,940 = 1,611,439,004,940 : x
  2. Step 2: Convert to fraction form
    760,391,305,260/1,611,439,004,940 = 1,611,439,004,940/x
  3. Step 3: Cross multiply
    760,391,305,260x = 1,611,439,004,940 × 1,611,439,004,940
  4. Step 4: Simplify right side
    760,391,305,260x = 2,596,735,666,642,017,297,891,328
  5. Step 5: Solve for x
    x = 2,596,735,666,642,017,297,891,328/760,391,305,260
  6. Step 6: Final answer
    x = 3,414,999,157,248.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.