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Finding the Third Proportional to 7,796,975,901 and 17,022,731,358

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Solution

The third proportional to 7,796,975,901 and 17,022,731,358 is: 37,164,842,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796,975,901 : 17,022,731,358 = 17,022,731,358 : x
  2. Step 2: Convert to fraction form
    7,796,975,901/17,022,731,358 = 17,022,731,358/x
  3. Step 3: Cross multiply
    7,796,975,901x = 17,022,731,358 × 17,022,731,358
  4. Step 4: Simplify right side
    7,796,975,901x = 289,773,382,886,636,519,424
  5. Step 5: Solve for x
    x = 289,773,382,886,636,519,424/7,796,975,901
  6. Step 6: Final answer
    x = 37,164,842,698.75

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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.