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Finding the Third Proportional to 44,988,126,468 and 96,746,811,280

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Solution

The third proportional to 44,988,126,468 and 96,746,811,280 is: 208,053,684,998.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,988,126,468 : 96,746,811,280 = 96,746,811,280 : x
  2. Step 2: Convert to fraction form
    44,988,126,468/96,746,811,280 = 96,746,811,280/x
  3. Step 3: Cross multiply
    44,988,126,468x = 96,746,811,280 × 96,746,811,280
  4. Step 4: Simplify right side
    44,988,126,468x = 9,359,945,492,847,934,832,640
  5. Step 5: Solve for x
    x = 9,359,945,492,847,934,832,640/44,988,126,468
  6. Step 6: Final answer
    x = 208,053,684,998.54

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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.