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Finding the Third Proportional to 495,733,621.50 and 749,976,241.50

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Solution

The third proportional to 495,733,621.50 and 749,976,241.50 is: 1,134,610,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,733,621.50 : 749,976,241.50 = 749,976,241.50 : x
  2. Step 2: Convert to fraction form
    495,733,621.50/749,976,241.50 = 749,976,241.50/x
  3. Step 3: Cross multiply
    495,733,621.50x = 749,976,241.50 × 749,976,241.50
  4. Step 4: Simplify right side
    495,733,621.50x = 562,464,362,814,466,304
  5. Step 5: Solve for x
    x = 562,464,362,814,466,304/495,733,621.50
  6. Step 6: Final answer
    x = 1,134,610,077.71

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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.