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Finding the Third Proportional to 2,463,360,303.94 and 5,101,332,204.94

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Solution

The third proportional to 2,463,360,303.94 and 5,101,332,204.94 is: 10,564,264,684.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,360,303.94 : 5,101,332,204.94 = 5,101,332,204.94 : x
  2. Step 2: Convert to fraction form
    2,463,360,303.94/5,101,332,204.94 = 5,101,332,204.94/x
  3. Step 3: Cross multiply
    2,463,360,303.94x = 5,101,332,204.94 × 5,101,332,204.94
  4. Step 4: Simplify right side
    2,463,360,303.94x = 26,023,590,265,132,494,848
  5. Step 5: Solve for x
    x = 26,023,590,265,132,494,848/2,463,360,303.94
  6. Step 6: Final answer
    x = 10,564,264,684.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.