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Finding the Third Proportional to 10,083,938.06 and 21,605,691.94

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Solution

The third proportional to 10,083,938.06 and 21,605,691.94 is: 46,292,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083,938.06 : 21,605,691.94 = 21,605,691.94 : x
  2. Step 2: Convert to fraction form
    10,083,938.06/21,605,691.94 = 21,605,691.94/x
  3. Step 3: Cross multiply
    10,083,938.06x = 21,605,691.94 × 21,605,691.94
  4. Step 4: Simplify right side
    10,083,938.06x = 466,805,924,098,152.50
  5. Step 5: Solve for x
    x = 466,805,924,098,152.50/10,083,938.06
  6. Step 6: Final answer
    x = 46,292,026.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.