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Finding the Third Proportional to 1,193,064,318 and 2,592,643,284

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Solution

The third proportional to 1,193,064,318 and 2,592,643,284 is: 5,634,062,721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193,064,318 : 2,592,643,284 = 2,592,643,284 : x
  2. Step 2: Convert to fraction form
    1,193,064,318/2,592,643,284 = 2,592,643,284/x
  3. Step 3: Cross multiply
    1,193,064,318x = 2,592,643,284 × 2,592,643,284
  4. Step 4: Simplify right side
    1,193,064,318x = 6,721,799,198,070,304,768
  5. Step 5: Solve for x
    x = 6,721,799,198,070,304,768/1,193,064,318
  6. Step 6: Final answer
    x = 5,634,062,721.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.