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Finding the Third Proportional to 144,412,416 and 300,768,768

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Solution

The third proportional to 144,412,416 and 300,768,768 is: 626,413,256.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,412,416 : 300,768,768 = 300,768,768 : x
  2. Step 2: Convert to fraction form
    144,412,416/300,768,768 = 300,768,768/x
  3. Step 3: Cross multiply
    144,412,416x = 300,768,768 × 300,768,768
  4. Step 4: Simplify right side
    144,412,416x = 90,461,851,804,237,824
  5. Step 5: Solve for x
    x = 90,461,851,804,237,824/144,412,416
  6. Step 6: Final answer
    x = 626,413,256.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.