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Finding the Third Proportional to 13,629,996,639 and 20,937,343,671

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Solution

The third proportional to 13,629,996,639 and 20,937,343,671 is: 32,162,323,411.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,629,996,639 : 20,937,343,671 = 20,937,343,671 : x
  2. Step 2: Convert to fraction form
    13,629,996,639/20,937,343,671 = 20,937,343,671/x
  3. Step 3: Cross multiply
    13,629,996,639x = 20,937,343,671 × 20,937,343,671
  4. Step 4: Simplify right side
    13,629,996,639x = 438,372,359,997,563,731,968
  5. Step 5: Solve for x
    x = 438,372,359,997,563,731,968/13,629,996,639
  6. Step 6: Final answer
    x = 32,162,323,411.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.