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Finding the Third Proportional to 1,015,233,726 and 1,369,788,660

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Solution

The third proportional to 1,015,233,726 and 1,369,788,660 is: 1,848,166,510.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015,233,726 : 1,369,788,660 = 1,369,788,660 : x
  2. Step 2: Convert to fraction form
    1,015,233,726/1,369,788,660 = 1,369,788,660/x
  3. Step 3: Cross multiply
    1,015,233,726x = 1,369,788,660 × 1,369,788,660
  4. Step 4: Simplify right side
    1,015,233,726x = 1,876,320,973,064,595,712
  5. Step 5: Solve for x
    x = 1,876,320,973,064,595,712/1,015,233,726
  6. Step 6: Final answer
    x = 1,848,166,510.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.