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Finding the Third Proportional to 558,684,008 and 1,316,973,329

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Solution

The third proportional to 558,684,008 and 1,316,973,329 is: 3,104,471,802.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,684,008 : 1,316,973,329 = 1,316,973,329 : x
  2. Step 2: Convert to fraction form
    558,684,008/1,316,973,329 = 1,316,973,329/x
  3. Step 3: Cross multiply
    558,684,008x = 1,316,973,329 × 1,316,973,329
  4. Step 4: Simplify right side
    558,684,008x = 1,734,418,749,297,342,208
  5. Step 5: Solve for x
    x = 1,734,418,749,297,342,208/558,684,008
  6. Step 6: Final answer
    x = 3,104,471,802.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.