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Finding the Third Proportional to 1,931,581,424 and 4,184,054,224

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Solution

The third proportional to 1,931,581,424 and 4,184,054,224 is: 9,063,200,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,931,581,424 : 4,184,054,224 = 4,184,054,224 : x
  2. Step 2: Convert to fraction form
    1,931,581,424/4,184,054,224 = 4,184,054,224/x
  3. Step 3: Cross multiply
    1,931,581,424x = 4,184,054,224 × 4,184,054,224
  4. Step 4: Simplify right side
    1,931,581,424x = 17,506,309,749,372,241,920
  5. Step 5: Solve for x
    x = 17,506,309,749,372,241,920/1,931,581,424
  6. Step 6: Final answer
    x = 9,063,200,511.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.