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Finding the Third Proportional to 1,222,674,972 and 2,685,547,728

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Solution

The third proportional to 1,222,674,972 and 2,685,547,728 is: 5,898,678,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222,674,972 : 2,685,547,728 = 2,685,547,728 : x
  2. Step 2: Convert to fraction form
    1,222,674,972/2,685,547,728 = 2,685,547,728/x
  3. Step 3: Cross multiply
    1,222,674,972x = 2,685,547,728 × 2,685,547,728
  4. Step 4: Simplify right side
    1,222,674,972x = 7,212,166,599,365,961,728
  5. Step 5: Solve for x
    x = 7,212,166,599,365,961,728/1,222,674,972
  6. Step 6: Final answer
    x = 5,898,678,524.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.