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Finding the Third Proportional to 728,724,114 and 1,573,567,126

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Solution

The third proportional to 728,724,114 and 1,573,567,126 is: 3,397,875,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,724,114 : 1,573,567,126 = 1,573,567,126 : x
  2. Step 2: Convert to fraction form
    728,724,114/1,573,567,126 = 1,573,567,126/x
  3. Step 3: Cross multiply
    728,724,114x = 1,573,567,126 × 1,573,567,126
  4. Step 4: Simplify right side
    728,724,114x = 2,476,113,500,027,899,904
  5. Step 5: Solve for x
    x = 2,476,113,500,027,899,904/728,724,114
  6. Step 6: Final answer
    x = 3,397,875,070.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.