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Finding the Third Proportional to 240,592,561,389 and 509,869,372,576.83

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Solution

The third proportional to 240,592,561,389 and 509,869,372,576.83 is: 1,080,527,076,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,592,561,389 : 509,869,372,576.83 = 509,869,372,576.83 : x
  2. Step 2: Convert to fraction form
    240,592,561,389/509,869,372,576.83 = 509,869,372,576.83/x
  3. Step 3: Cross multiply
    240,592,561,389x = 509,869,372,576.83 × 509,869,372,576.83
  4. Step 4: Simplify right side
    240,592,561,389x = 259,966,777,091,890,293,506,048
  5. Step 5: Solve for x
    x = 259,966,777,091,890,293,506,048/240,592,561,389
  6. Step 6: Final answer
    x = 1,080,527,076,943.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.