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Finding the Third Proportional to 24,242,386,165 and 56,641,152,690

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Solution

The third proportional to 24,242,386,165 and 56,641,152,690 is: 132,339,290,209.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,242,386,165 : 56,641,152,690 = 56,641,152,690 : x
  2. Step 2: Convert to fraction form
    24,242,386,165/56,641,152,690 = 56,641,152,690/x
  3. Step 3: Cross multiply
    24,242,386,165x = 56,641,152,690 × 56,641,152,690
  4. Step 4: Simplify right side
    24,242,386,165x = 3,208,220,178,051,894,345,728
  5. Step 5: Solve for x
    x = 3,208,220,178,051,894,345,728/24,242,386,165
  6. Step 6: Final answer
    x = 132,339,290,209.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.