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Finding the Third Proportional to 21,009,852 and 31,514,773.50

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Solution

The third proportional to 21,009,852 and 31,514,773.50 is: 47,272,153.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,009,852 : 31,514,773.50 = 31,514,773.50 : x
  2. Step 2: Convert to fraction form
    21,009,852/31,514,773.50 = 31,514,773.50/x
  3. Step 3: Cross multiply
    21,009,852x = 31,514,773.50 × 31,514,773.50
  4. Step 4: Simplify right side
    21,009,852x = 993,180,948,756,302.25
  5. Step 5: Solve for x
    x = 993,180,948,756,302.25/21,009,852
  6. Step 6: Final answer
    x = 47,272,153.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.