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Finding the Third Proportional to 2,303,126,967 and 4,973,247,169

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Solution

The third proportional to 2,303,126,967 and 4,973,247,169 is: 10,738,959,579.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303,126,967 : 4,973,247,169 = 4,973,247,169 : x
  2. Step 2: Convert to fraction form
    2,303,126,967/4,973,247,169 = 4,973,247,169/x
  3. Step 3: Cross multiply
    2,303,126,967x = 4,973,247,169 × 4,973,247,169
  4. Step 4: Simplify right side
    2,303,126,967x = 24,733,187,403,966,513,152
  5. Step 5: Solve for x
    x = 24,733,187,403,966,513,152/2,303,126,967
  6. Step 6: Final answer
    x = 10,738,959,579.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.