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Finding the Third Proportional to 10,402,112.81 and 16,566,401.81

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Solution

The third proportional to 10,402,112.81 and 16,566,401.81 is: 26,383,646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,112.81 : 16,566,401.81 = 16,566,401.81 : x
  2. Step 2: Convert to fraction form
    10,402,112.81/16,566,401.81 = 16,566,401.81/x
  3. Step 3: Cross multiply
    10,402,112.81x = 16,566,401.81 × 16,566,401.81
  4. Step 4: Simplify right side
    10,402,112.81x = 274,445,669,013,203.28
  5. Step 5: Solve for x
    x = 274,445,669,013,203.28/10,402,112.81
  6. Step 6: Final answer
    x = 26,383,646.66

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.