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Finding the Third Proportional to 558,684,006 and 1,316,973,324

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Solution

The third proportional to 558,684,006 and 1,316,973,324 is: 3,104,471,789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,684,006 : 1,316,973,324 = 1,316,973,324 : x
  2. Step 2: Convert to fraction form
    558,684,006/1,316,973,324 = 1,316,973,324/x
  3. Step 3: Cross multiply
    558,684,006x = 1,316,973,324 × 1,316,973,324
  4. Step 4: Simplify right side
    558,684,006x = 1,734,418,736,127,609,088
  5. Step 5: Solve for x
    x = 1,734,418,736,127,609,088/558,684,006
  6. Step 6: Final answer
    x = 3,104,471,789.96

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