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Finding the Third Proportional to 12,516,729,305 and 26,525,744,938

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Solution

The third proportional to 12,516,729,305 and 26,525,744,938 is: 56,213,977,898.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,516,729,305 : 26,525,744,938 = 26,525,744,938 : x
  2. Step 2: Convert to fraction form
    12,516,729,305/26,525,744,938 = 26,525,744,938/x
  3. Step 3: Cross multiply
    12,516,729,305x = 26,525,744,938 × 26,525,744,938
  4. Step 4: Simplify right side
    12,516,729,305x = 703,615,144,515,832,643,584
  5. Step 5: Solve for x
    x = 703,615,144,515,832,643,584/12,516,729,305
  6. Step 6: Final answer
    x = 56,213,977,898.74

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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.