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Finding the Third Proportional to 5,416,409,216 and 7,484,247,074

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Solution

The third proportional to 5,416,409,216 and 7,484,247,074 is: 10,341,529,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,409,216 : 7,484,247,074 = 7,484,247,074 : x
  2. Step 2: Convert to fraction form
    5,416,409,216/7,484,247,074 = 7,484,247,074/x
  3. Step 3: Cross multiply
    5,416,409,216x = 7,484,247,074 × 7,484,247,074
  4. Step 4: Simplify right side
    5,416,409,216x = 56,013,954,264,677,564,416
  5. Step 5: Solve for x
    x = 56,013,954,264,677,564,416/5,416,409,216
  6. Step 6: Final answer
    x = 10,341,529,236.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.