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Finding the Third Proportional to 1,952,802,194 and 2,947,363,044

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Solution

The third proportional to 1,952,802,194 and 2,947,363,044 is: 4,448,453,069.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,802,194 : 2,947,363,044 = 2,947,363,044 : x
  2. Step 2: Convert to fraction form
    1,952,802,194/2,947,363,044 = 2,947,363,044/x
  3. Step 3: Cross multiply
    1,952,802,194x = 2,947,363,044 × 2,947,363,044
  4. Step 4: Simplify right side
    1,952,802,194x = 8,686,948,913,136,946,176
  5. Step 5: Solve for x
    x = 8,686,948,913,136,946,176/1,952,802,194
  6. Step 6: Final answer
    x = 4,448,453,069.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.