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Finding the Third Proportional to 44,988,126,462 and 96,746,811,266

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Solution

The third proportional to 44,988,126,462 and 96,746,811,266 is: 208,053,684,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,988,126,462 : 96,746,811,266 = 96,746,811,266 : x
  2. Step 2: Convert to fraction form
    44,988,126,462/96,746,811,266 = 96,746,811,266/x
  3. Step 3: Cross multiply
    44,988,126,462x = 96,746,811,266 × 96,746,811,266
  4. Step 4: Simplify right side
    44,988,126,462x = 9,359,945,490,139,024,719,872
  5. Step 5: Solve for x
    x = 9,359,945,490,139,024,719,872/44,988,126,462
  6. Step 6: Final answer
    x = 208,053,684,966.08

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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.