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Finding the Third Proportional to 1,702,482,678 and 2,396,426,053.50

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Solution

The third proportional to 1,702,482,678 and 2,396,426,053.50 is: 3,373,225,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702,482,678 : 2,396,426,053.50 = 2,396,426,053.50 : x
  2. Step 2: Convert to fraction form
    1,702,482,678/2,396,426,053.50 = 2,396,426,053.50/x
  3. Step 3: Cross multiply
    1,702,482,678x = 2,396,426,053.50 × 2,396,426,053.50
  4. Step 4: Simplify right side
    1,702,482,678x = 5,742,857,829,893,584,896
  5. Step 5: Solve for x
    x = 5,742,857,829,893,584,896/1,702,482,678
  6. Step 6: Final answer
    x = 3,373,225,410.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.