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Finding the Third Proportional to 42,296,823.50 and 63,725,267.25

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Solution

The third proportional to 42,296,823.50 and 63,725,267.25 is: 96,009,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,296,823.50 : 63,725,267.25 = 63,725,267.25 : x
  2. Step 2: Convert to fraction form
    42,296,823.50/63,725,267.25 = 63,725,267.25/x
  3. Step 3: Cross multiply
    42,296,823.50x = 63,725,267.25 × 63,725,267.25
  4. Step 4: Simplify right side
    42,296,823.50x = 4,060,909,686,083,922.50
  5. Step 5: Solve for x
    x = 4,060,909,686,083,922.50/42,296,823.50
  6. Step 6: Final answer
    x = 96,009,802.87

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