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Finding the Third Proportional to 2,281,173,915,387 and 4,834,317,014,052

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Solution

The third proportional to 2,281,173,915,387 and 4,834,317,014,052 is: 10,244,997,470,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281,173,915,387 : 4,834,317,014,052 = 4,834,317,014,052 : x
  2. Step 2: Convert to fraction form
    2,281,173,915,387/4,834,317,014,052 = 4,834,317,014,052/x
  3. Step 3: Cross multiply
    2,281,173,915,387x = 4,834,317,014,052 × 4,834,317,014,052
  4. Step 4: Simplify right side
    2,281,173,915,387x = 23,370,620,992,352,646,315,638,784
  5. Step 5: Solve for x
    x = 23,370,620,992,352,646,315,638,784/2,281,173,915,387
  6. Step 6: Final answer
    x = 10,244,997,470,255.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.