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Finding the Third Proportional to 52,946,362,614 and 113,446,219,068

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Solution

The third proportional to 52,946,362,614 and 113,446,219,068 is: 243,077,030,893.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946,362,614 : 113,446,219,068 = 113,446,219,068 : x
  2. Step 2: Convert to fraction form
    52,946,362,614/113,446,219,068 = 113,446,219,068/x
  3. Step 3: Cross multiply
    52,946,362,614x = 113,446,219,068 × 113,446,219,068
  4. Step 4: Simplify right side
    52,946,362,614x = 12,870,044,620,824,646,778,880
  5. Step 5: Solve for x
    x = 12,870,044,620,824,646,778,880/52,946,362,614
  6. Step 6: Final answer
    x = 243,077,030,893.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.