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Finding the Third Proportional to 12,937,688,298 and 19,354,814,184

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Solution

The third proportional to 12,937,688,298 and 19,354,814,184 is: 28,954,850,624.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,937,688,298 : 19,354,814,184 = 19,354,814,184 : x
  2. Step 2: Convert to fraction form
    12,937,688,298/19,354,814,184 = 19,354,814,184/x
  3. Step 3: Cross multiply
    12,937,688,298x = 19,354,814,184 × 19,354,814,184
  4. Step 4: Simplify right side
    12,937,688,298x = 374,608,832,097,167,605,760
  5. Step 5: Solve for x
    x = 374,608,832,097,167,605,760/12,937,688,298
  6. Step 6: Final answer
    x = 28,954,850,624.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.