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Finding the Third Proportional to 11,038,052,326,792 and 24,019,768,885,904

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Solution

The third proportional to 11,038,052,326,792 and 24,019,768,885,904 is: 52,269,121,422,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,038,052,326,792 : 24,019,768,885,904 = 24,019,768,885,904 : x
  2. Step 2: Convert to fraction form
    11,038,052,326,792/24,019,768,885,904 = 24,019,768,885,904/x
  3. Step 3: Cross multiply
    11,038,052,326,792x = 24,019,768,885,904 × 24,019,768,885,904
  4. Step 4: Simplify right side
    11,038,052,326,792x = 576,949,297,332,241,860,688,609,280
  5. Step 5: Solve for x
    x = 576,949,297,332,241,860,688,609,280/11,038,052,326,792
  6. Step 6: Final answer
    x = 52,269,121,422,068.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.