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Finding the Third Proportional to 2,462,503,214,808 and 5,295,604,695,841

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Solution

The third proportional to 2,462,503,214,808 and 5,295,604,695,841 is: 11,388,179,688,853.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462,503,214,808 : 5,295,604,695,841 = 5,295,604,695,841 : x
  2. Step 2: Convert to fraction form
    2,462,503,214,808/5,295,604,695,841 = 5,295,604,695,841/x
  3. Step 3: Cross multiply
    2,462,503,214,808x = 5,295,604,695,841 × 5,295,604,695,841
  4. Step 4: Simplify right side
    2,462,503,214,808x = 28,043,429,094,613,248,242,614,272
  5. Step 5: Solve for x
    x = 28,043,429,094,613,248,242,614,272/2,462,503,214,808
  6. Step 6: Final answer
    x = 11,388,179,688,853.64

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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.