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Finding the Third Proportional to 7,796,978,468 and 17,022,735,664

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Solution

The third proportional to 7,796,978,468 and 17,022,735,664 is: 37,164,849,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796,978,468 : 17,022,735,664 = 17,022,735,664 : x
  2. Step 2: Convert to fraction form
    7,796,978,468/17,022,735,664 = 17,022,735,664/x
  3. Step 3: Cross multiply
    7,796,978,468x = 17,022,735,664 × 17,022,735,664
  4. Step 4: Simplify right side
    7,796,978,468x = 289,773,529,486,417,526,784
  5. Step 5: Solve for x
    x = 289,773,529,486,417,526,784/7,796,978,468
  6. Step 6: Final answer
    x = 37,164,849,265.10

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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.