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Finding the Third Proportional to 78,554,950,094 and 172,318,543,084

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Solution

The third proportional to 78,554,950,094 and 172,318,543,084 is: 377,998,843,549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,554,950,094 : 172,318,543,084 = 172,318,543,084 : x
  2. Step 2: Convert to fraction form
    78,554,950,094/172,318,543,084 = 172,318,543,084/x
  3. Step 3: Cross multiply
    78,554,950,094x = 172,318,543,084 × 172,318,543,084
  4. Step 4: Simplify right side
    78,554,950,094x = 29,693,680,290,592,364,429,312
  5. Step 5: Solve for x
    x = 29,693,680,290,592,364,429,312/78,554,950,094
  6. Step 6: Final answer
    x = 377,998,843,549.14

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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.