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Finding the Third Proportional to 364,289,113.97 and 559,592,633.53

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Solution

The third proportional to 364,289,113.97 and 559,592,633.53 is: 859,602,726.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,289,113.97 : 559,592,633.53 = 559,592,633.53 : x
  2. Step 2: Convert to fraction form
    364,289,113.97/559,592,633.53 = 559,592,633.53/x
  3. Step 3: Cross multiply
    364,289,113.97x = 559,592,633.53 × 559,592,633.53
  4. Step 4: Simplify right side
    364,289,113.97x = 313,143,915,502,428,672
  5. Step 5: Solve for x
    x = 313,143,915,502,428,672/364,289,113.97
  6. Step 6: Final answer
    x = 859,602,726.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.