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Finding the Third Proportional to 224,292,566,354 and 482,603,242,096

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Solution

The third proportional to 224,292,566,354 and 482,603,242,096 is: 1,038,402,177,422.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,292,566,354 : 482,603,242,096 = 482,603,242,096 : x
  2. Step 2: Convert to fraction form
    224,292,566,354/482,603,242,096 = 482,603,242,096/x
  3. Step 3: Cross multiply
    224,292,566,354x = 482,603,242,096 × 482,603,242,096
  4. Step 4: Simplify right side
    224,292,566,354x = 232,905,889,281,570,391,457,792
  5. Step 5: Solve for x
    x = 232,905,889,281,570,391,457,792/224,292,566,354
  6. Step 6: Final answer
    x = 1,038,402,177,422.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.