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Finding the Third Proportional to 52,946,363,047.50 and 113,446,219,944

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Solution

The third proportional to 52,946,363,047.50 and 113,446,219,944 is: 243,077,032,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946,363,047.50 : 113,446,219,944 = 113,446,219,944 : x
  2. Step 2: Convert to fraction form
    52,946,363,047.50/113,446,219,944 = 113,446,219,944/x
  3. Step 3: Cross multiply
    52,946,363,047.50x = 113,446,219,944 × 113,446,219,944
  4. Step 4: Simplify right side
    52,946,363,047.50x = 12,870,044,819,582,422,614,016
  5. Step 5: Solve for x
    x = 12,870,044,819,582,422,614,016/52,946,363,047.50
  6. Step 6: Final answer
    x = 243,077,032,657.30

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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.