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Finding the Third Proportional to 1,197,805,660,776 and 2,663,423,573,280

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Solution

The third proportional to 1,197,805,660,776 and 2,663,423,573,280 is: 5,922,350,647,523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,805,660,776 : 2,663,423,573,280 = 2,663,423,573,280 : x
  2. Step 2: Convert to fraction form
    1,197,805,660,776/2,663,423,573,280 = 2,663,423,573,280/x
  3. Step 3: Cross multiply
    1,197,805,660,776x = 2,663,423,573,280 × 2,663,423,573,280
  4. Step 4: Simplify right side
    1,197,805,660,776x = 7,093,825,130,703,603,065,946,112
  5. Step 5: Solve for x
    x = 7,093,825,130,703,603,065,946,112/1,197,805,660,776
  6. Step 6: Final answer
    x = 5,922,350,647,523.12

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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.