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Finding the Third Proportional to 2,462,503,214,810.20 and 5,295,604,695,845.50

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Solution

The third proportional to 2,462,503,214,810.20 and 5,295,604,695,845.50 is: 11,388,179,688,862.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,503,214,810.20 : 5,295,604,695,845.50 = 5,295,604,695,845.50 : x
  2. Step 2: Convert to fraction form
    2,462,503,214,810.20/5,295,604,695,845.50 = 5,295,604,695,845.50/x
  3. Step 3: Cross multiply
    2,462,503,214,810.20x = 5,295,604,695,845.50 × 5,295,604,695,845.50
  4. Step 4: Simplify right side
    2,462,503,214,810.20x = 28,043,429,094,660,909,494,697,984
  5. Step 5: Solve for x
    x = 28,043,429,094,660,909,494,697,984/2,462,503,214,810.20
  6. Step 6: Final answer
    x = 11,388,179,688,862.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.