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Finding the Third Proportional to 22,492,954,924 and 46,847,638,498

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Solution

The third proportional to 22,492,954,924 and 46,847,638,498 is: 97,572,828,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,492,954,924 : 46,847,638,498 = 46,847,638,498 : x
  2. Step 2: Convert to fraction form
    22,492,954,924/46,847,638,498 = 46,847,638,498/x
  3. Step 3: Cross multiply
    22,492,954,924x = 46,847,638,498 × 46,847,638,498
  4. Step 4: Simplify right side
    22,492,954,924x = 2,194,701,232,839,291,568,128
  5. Step 5: Solve for x
    x = 2,194,701,232,839,291,568,128/22,492,954,924
  6. Step 6: Final answer
    x = 97,572,828,481.40

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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.