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Finding the Third Proportional to 12,652,287,918 and 26,351,798,187

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Solution

The third proportional to 12,652,287,918 and 26,351,798,187 is: 54,884,719,047.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,652,287,918 : 26,351,798,187 = 26,351,798,187 : x
  2. Step 2: Convert to fraction form
    12,652,287,918/26,351,798,187 = 26,351,798,187/x
  3. Step 3: Cross multiply
    12,652,287,918x = 26,351,798,187 × 26,351,798,187
  4. Step 4: Simplify right side
    12,652,287,918x = 694,417,267,688,376,500,224
  5. Step 5: Solve for x
    x = 694,417,267,688,376,500,224/12,652,287,918
  6. Step 6: Final answer
    x = 54,884,719,047.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.