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Finding the Third Proportional to 11,595,210,379,810 and 25,226,193,607,536

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Solution

The third proportional to 11,595,210,379,810 and 25,226,193,607,536 is: 54,881,353,859,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595,210,379,810 : 25,226,193,607,536 = 25,226,193,607,536 : x
  2. Step 2: Convert to fraction form
    11,595,210,379,810/25,226,193,607,536 = 25,226,193,607,536/x
  3. Step 3: Cross multiply
    11,595,210,379,810x = 25,226,193,607,536 × 25,226,193,607,536
  4. Step 4: Simplify right side
    11,595,210,379,810x = 636,360,843,924,890,123,386,224,640
  5. Step 5: Solve for x
    x = 636,360,843,924,890,123,386,224,640/11,595,210,379,810
  6. Step 6: Final answer
    x = 54,881,353,859,085.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.