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Finding the Third Proportional to 1,197,805,660,362 and 2,663,423,572,482

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Solution

The third proportional to 1,197,805,660,362 and 2,663,423,572,482 is: 5,922,350,646,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,805,660,362 : 2,663,423,572,482 = 2,663,423,572,482 : x
  2. Step 2: Convert to fraction form
    1,197,805,660,362/2,663,423,572,482 = 2,663,423,572,482/x
  3. Step 3: Cross multiply
    1,197,805,660,362x = 2,663,423,572,482 × 2,663,423,572,482
  4. Step 4: Simplify right side
    1,197,805,660,362x = 7,093,825,126,452,779,443,814,400
  5. Step 5: Solve for x
    x = 7,093,825,126,452,779,443,814,400/1,197,805,660,362
  6. Step 6: Final answer
    x = 5,922,350,646,021.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.