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Finding the Third Proportional to 1,573,940,961 and 3,365,805,942

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Solution

The third proportional to 1,573,940,961 and 3,365,805,942 is: 7,197,633,151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,573,940,961 : 3,365,805,942 = 3,365,805,942 : x
  2. Step 2: Convert to fraction form
    1,573,940,961/3,365,805,942 = 3,365,805,942/x
  3. Step 3: Cross multiply
    1,573,940,961x = 3,365,805,942 × 3,365,805,942
  4. Step 4: Simplify right side
    1,573,940,961x = 11,328,649,639,202,506,752
  5. Step 5: Solve for x
    x = 11,328,649,639,202,506,752/1,573,940,961
  6. Step 6: Final answer
    x = 7,197,633,151.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.