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Finding the Third Proportional to 374,800,465,396 and 570,982,583,472

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Solution

The third proportional to 374,800,465,396 and 570,982,583,472 is: 869,852,470,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,800,465,396 : 570,982,583,472 = 570,982,583,472 : x
  2. Step 2: Convert to fraction form
    374,800,465,396/570,982,583,472 = 570,982,583,472/x
  3. Step 3: Cross multiply
    374,800,465,396x = 570,982,583,472 × 570,982,583,472
  4. Step 4: Simplify right side
    374,800,465,396x = 326,021,110,628,359,415,529,472
  5. Step 5: Solve for x
    x = 326,021,110,628,359,415,529,472/374,800,465,396
  6. Step 6: Final answer
    x = 869,852,470,124.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.