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Finding the Third Proportional to 24,596,048,747,602 and 51,227,897,502,548

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Solution

The third proportional to 24,596,048,747,602 and 51,227,897,502,548 is: 106,695,896,949,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596,048,747,602 : 51,227,897,502,548 = 51,227,897,502,548 : x
  2. Step 2: Convert to fraction form
    24,596,048,747,602/51,227,897,502,548 = 51,227,897,502,548/x
  3. Step 3: Cross multiply
    24,596,048,747,602x = 51,227,897,502,548 × 51,227,897,502,548
  4. Step 4: Simplify right side
    24,596,048,747,602x = 2,624,297,482,531,563,832,675,926,016
  5. Step 5: Solve for x
    x = 2,624,297,482,531,563,832,675,926,016/24,596,048,747,602
  6. Step 6: Final answer
    x = 106,695,896,949,196.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.