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Finding the Third Proportional to 355,021,437,736 and 760,310,843,024

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Solution

The third proportional to 355,021,437,736 and 760,310,843,024 is: 1,628,275,130,950.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,021,437,736 : 760,310,843,024 = 760,310,843,024 : x
  2. Step 2: Convert to fraction form
    355,021,437,736/760,310,843,024 = 760,310,843,024/x
  3. Step 3: Cross multiply
    355,021,437,736x = 760,310,843,024 × 760,310,843,024
  4. Step 4: Simplify right side
    355,021,437,736x = 578,072,578,019,865,539,903,488
  5. Step 5: Solve for x
    x = 578,072,578,019,865,539,903,488/355,021,437,736
  6. Step 6: Final answer
    x = 1,628,275,130,950.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.