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Finding the Third Proportional to 415,857,087,696 and 911,436,703,840

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Solution

The third proportional to 415,857,087,696 and 911,436,703,840 is: 1,997,601,795,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,857,087,696 : 911,436,703,840 = 911,436,703,840 : x
  2. Step 2: Convert to fraction form
    415,857,087,696/911,436,703,840 = 911,436,703,840/x
  3. Step 3: Cross multiply
    415,857,087,696x = 911,436,703,840 × 911,436,703,840
  4. Step 4: Simplify right side
    415,857,087,696x = 830,716,865,106,723,878,207,488
  5. Step 5: Solve for x
    x = 830,716,865,106,723,878,207,488/415,857,087,696
  6. Step 6: Final answer
    x = 1,997,601,795,629.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.