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Finding the Third Proportional to 5,921,180,088 and 13,165,889,784

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Solution

The third proportional to 5,921,180,088 and 13,165,889,784 is: 29,274,680,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,921,180,088 : 13,165,889,784 = 13,165,889,784 : x
  2. Step 2: Convert to fraction form
    5,921,180,088/13,165,889,784 = 13,165,889,784/x
  3. Step 3: Cross multiply
    5,921,180,088x = 13,165,889,784 × 13,165,889,784
  4. Step 4: Simplify right side
    5,921,180,088x = 173,340,653,804,435,570,688
  5. Step 5: Solve for x
    x = 173,340,653,804,435,570,688/5,921,180,088
  6. Step 6: Final answer
    x = 29,274,680,254.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.