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Finding the Third Proportional to 44,988,126,470 and 96,746,811,284

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Solution

The third proportional to 44,988,126,470 and 96,746,811,284 is: 208,053,685,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,988,126,470 : 96,746,811,284 = 96,746,811,284 : x
  2. Step 2: Convert to fraction form
    44,988,126,470/96,746,811,284 = 96,746,811,284/x
  3. Step 3: Cross multiply
    44,988,126,470x = 96,746,811,284 × 96,746,811,284
  4. Step 4: Simplify right side
    44,988,126,470x = 9,359,945,493,621,909,749,760
  5. Step 5: Solve for x
    x = 9,359,945,493,621,909,749,760/44,988,126,470
  6. Step 6: Final answer
    x = 208,053,685,006.50

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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.