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Finding the Third Proportional to 22,492,955,099 and 46,847,638,863

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Solution

The third proportional to 22,492,955,099 and 46,847,638,863 is: 97,572,829,242.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492,955,099 : 46,847,638,863 = 46,847,638,863 : x
  2. Step 2: Convert to fraction form
    22,492,955,099/46,847,638,863 = 46,847,638,863/x
  3. Step 3: Cross multiply
    22,492,955,099x = 46,847,638,863 × 46,847,638,863
  4. Step 4: Simplify right side
    22,492,955,099x = 2,194,701,267,038,068,015,104
  5. Step 5: Solve for x
    x = 2,194,701,267,038,068,015,104/22,492,955,099
  6. Step 6: Final answer
    x = 97,572,829,242.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.