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Finding the Third Proportional to 5,280,494,728 and 11,190,547,752

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Solution

The third proportional to 5,280,494,728 and 11,190,547,752 is: 23,715,270,148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,280,494,728 : 11,190,547,752 = 11,190,547,752 : x
  2. Step 2: Convert to fraction form
    5,280,494,728/11,190,547,752 = 11,190,547,752/x
  3. Step 3: Cross multiply
    5,280,494,728x = 11,190,547,752 × 11,190,547,752
  4. Step 4: Simplify right side
    5,280,494,728x = 125,228,358,989,792,247,808
  5. Step 5: Solve for x
    x = 125,228,358,989,792,247,808/5,280,494,728
  6. Step 6: Final answer
    x = 23,715,270,148.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.