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Finding the Third Proportional to 364,291,200 and 559,595,871

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Solution

The third proportional to 364,291,200 and 559,595,871 is: 859,607,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,291,200 : 559,595,871 = 559,595,871 : x
  2. Step 2: Convert to fraction form
    364,291,200/559,595,871 = 559,595,871/x
  3. Step 3: Cross multiply
    364,291,200x = 559,595,871 × 559,595,871
  4. Step 4: Simplify right side
    364,291,200x = 313,147,538,840,248,640
  5. Step 5: Solve for x
    x = 313,147,538,840,248,640/364,291,200
  6. Step 6: Final answer
    x = 859,607,750.17

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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.