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Finding the Third Proportional to 344,939,141,253 and 750,617,789,604

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Solution

The third proportional to 344,939,141,253 and 750,617,789,604 is: 1,633,410,067,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,939,141,253 : 750,617,789,604 = 750,617,789,604 : x
  2. Step 2: Convert to fraction form
    344,939,141,253/750,617,789,604 = 750,617,789,604/x
  3. Step 3: Cross multiply
    344,939,141,253x = 750,617,789,604 × 750,617,789,604
  4. Step 4: Simplify right side
    344,939,141,253x = 563,427,066,069,994,799,366,144
  5. Step 5: Solve for x
    x = 563,427,066,069,994,799,366,144/344,939,141,253
  6. Step 6: Final answer
    x = 1,633,410,067,710.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.