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Finding the Third Proportional to 1,952,796,735 and 2,947,355,424

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Solution

The third proportional to 1,952,796,735 and 2,947,355,424 is: 4,448,442,502.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,952,796,735 : 2,947,355,424 = 2,947,355,424 : x
  2. Step 2: Convert to fraction form
    1,952,796,735/2,947,355,424 = 2,947,355,424/x
  3. Step 3: Cross multiply
    1,952,796,735x = 2,947,355,424 × 2,947,355,424
  4. Step 4: Simplify right side
    1,952,796,735x = 8,686,903,995,382,219,776
  5. Step 5: Solve for x
    x = 8,686,903,995,382,219,776/1,952,796,735
  6. Step 6: Final answer
    x = 4,448,442,502.84

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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.