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Finding the Third Proportional to 31,493,583 and 45,035,875.13

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Solution

The third proportional to 31,493,583 and 45,035,875.13 is: 64,401,374.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,493,583 : 45,035,875.13 = 45,035,875.13 : x
  2. Step 2: Convert to fraction form
    31,493,583/45,035,875.13 = 45,035,875.13/x
  3. Step 3: Cross multiply
    31,493,583x = 45,035,875.13 × 45,035,875.13
  4. Step 4: Simplify right side
    31,493,583x = 2,028,230,048,274,593.75
  5. Step 5: Solve for x
    x = 2,028,230,048,274,593.75/31,493,583
  6. Step 6: Final answer
    x = 64,401,374.98

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.