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Finding the Third Proportional to 21,584,168,948 and 48,131,237,672

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Solution

The third proportional to 21,584,168,948 and 48,131,237,672 is: 107,329,406,354.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,584,168,948 : 48,131,237,672 = 48,131,237,672 : x
  2. Step 2: Convert to fraction form
    21,584,168,948/48,131,237,672 = 48,131,237,672/x
  3. Step 3: Cross multiply
    21,584,168,948x = 48,131,237,672 × 48,131,237,672
  4. Step 4: Simplify right side
    21,584,168,948x = 2,316,616,039,838,551,900,160
  5. Step 5: Solve for x
    x = 2,316,616,039,838,551,900,160/21,584,168,948
  6. Step 6: Final answer
    x = 107,329,406,354.24

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.