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Finding the Third Proportional to 113,586,894,774 and 242,929,939,680

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Solution

The third proportional to 113,586,894,774 and 242,929,939,680 is: 519,557,786,224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,586,894,774 : 242,929,939,680 = 242,929,939,680 : x
  2. Step 2: Convert to fraction form
    113,586,894,774/242,929,939,680 = 242,929,939,680/x
  3. Step 3: Cross multiply
    113,586,894,774x = 242,929,939,680 × 242,929,939,680
  4. Step 4: Simplify right side
    113,586,894,774x = 59,014,955,592,928,441,925,632
  5. Step 5: Solve for x
    x = 59,014,955,592,928,441,925,632/113,586,894,774
  6. Step 6: Final answer
    x = 519,557,786,224.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.