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Finding the Third Proportional to 2,462,503,214,814 and 5,295,604,695,854

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Solution

The third proportional to 2,462,503,214,814 and 5,295,604,695,854 is: 11,388,179,688,881.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,503,214,814 : 5,295,604,695,854 = 5,295,604,695,854 : x
  2. Step 2: Convert to fraction form
    2,462,503,214,814/5,295,604,695,854 = 5,295,604,695,854/x
  3. Step 3: Cross multiply
    2,462,503,214,814x = 5,295,604,695,854 × 5,295,604,695,854
  4. Step 4: Simplify right side
    2,462,503,214,814x = 28,043,429,094,750,936,304,189,440
  5. Step 5: Solve for x
    x = 28,043,429,094,750,936,304,189,440/2,462,503,214,814
  6. Step 6: Final answer
    x = 11,388,179,688,881.80

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Why These Related Problems?

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