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Finding the Third Proportional to 1,943,293,510.50 and 4,196,234,145

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Solution

The third proportional to 1,943,293,510.50 and 4,196,234,145 is: 9,061,102,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943,293,510.50 : 4,196,234,145 = 4,196,234,145 : x
  2. Step 2: Convert to fraction form
    1,943,293,510.50/4,196,234,145 = 4,196,234,145/x
  3. Step 3: Cross multiply
    1,943,293,510.50x = 4,196,234,145 × 4,196,234,145
  4. Step 4: Simplify right side
    1,943,293,510.50x = 17,608,380,999,663,880,192
  5. Step 5: Solve for x
    x = 17,608,380,999,663,880,192/1,943,293,510.50
  6. Step 6: Final answer
    x = 9,061,102,146.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.