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Finding the Third Proportional to 7,583,570 and 16,230,023

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Solution

The third proportional to 7,583,570 and 16,230,023 is: 34,734,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583,570 : 16,230,023 = 16,230,023 : x
  2. Step 2: Convert to fraction form
    7,583,570/16,230,023 = 16,230,023/x
  3. Step 3: Cross multiply
    7,583,570x = 16,230,023 × 16,230,023
  4. Step 4: Simplify right side
    7,583,570x = 263,413,646,580,529
  5. Step 5: Solve for x
    x = 263,413,646,580,529/7,583,570
  6. Step 6: Final answer
    x = 34,734,781.45

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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.