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Finding the Third Proportional to 407,442,887.25 and 882,573,800.25

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Solution

The third proportional to 407,442,887.25 and 882,573,800.25 is: 1,911,768,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,442,887.25 : 882,573,800.25 = 882,573,800.25 : x
  2. Step 2: Convert to fraction form
    407,442,887.25/882,573,800.25 = 882,573,800.25/x
  3. Step 3: Cross multiply
    407,442,887.25x = 882,573,800.25 × 882,573,800.25
  4. Step 4: Simplify right side
    407,442,887.25x = 778,936,512,887,726,848
  5. Step 5: Solve for x
    x = 778,936,512,887,726,848/407,442,887.25
  6. Step 6: Final answer
    x = 1,911,768,587.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.