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Finding the Third Proportional to 495,733,580.81 and 749,976,183.94

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Solution

The third proportional to 495,733,580.81 and 749,976,183.94 is: 1,134,609,996.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,733,580.81 : 749,976,183.94 = 749,976,183.94 : x
  2. Step 2: Convert to fraction form
    495,733,580.81/749,976,183.94 = 749,976,183.94/x
  3. Step 3: Cross multiply
    495,733,580.81x = 749,976,183.94 × 749,976,183.94
  4. Step 4: Simplify right side
    495,733,580.81x = 562,464,276,473,454,848
  5. Step 5: Solve for x
    x = 562,464,276,473,454,848/495,733,580.81
  6. Step 6: Final answer
    x = 1,134,609,996.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.