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Finding the Third Proportional to 2,324,355,372,792 and 5,035,482,688,440

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Solution

The third proportional to 2,324,355,372,792 and 5,035,482,688,440 is: 10,908,867,982,231.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324,355,372,792 : 5,035,482,688,440 = 5,035,482,688,440 : x
  2. Step 2: Convert to fraction form
    2,324,355,372,792/5,035,482,688,440 = 5,035,482,688,440/x
  3. Step 3: Cross multiply
    2,324,355,372,792x = 5,035,482,688,440 × 5,035,482,688,440
  4. Step 4: Simplify right side
    2,324,355,372,792x = 25,356,085,905,578,929,824,989,184
  5. Step 5: Solve for x
    x = 25,356,085,905,578,929,824,989,184/2,324,355,372,792
  6. Step 6: Final answer
    x = 10,908,867,982,231.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.