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Finding the Third Proportional to 49,710,554,324 and 109,045,328,000

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Solution

The third proportional to 49,710,554,324 and 109,045,328,000 is: 239,202,393,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,710,554,324 : 109,045,328,000 = 109,045,328,000 : x
  2. Step 2: Convert to fraction form
    49,710,554,324/109,045,328,000 = 109,045,328,000/x
  3. Step 3: Cross multiply
    49,710,554,324x = 109,045,328,000 × 109,045,328,000
  4. Step 4: Simplify right side
    49,710,554,324x = 11,890,883,558,627,583,459,328
  5. Step 5: Solve for x
    x = 11,890,883,558,627,583,459,328/49,710,554,324
  6. Step 6: Final answer
    x = 239,202,393,140.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.