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Finding the Third Proportional to 388,029,426,165 and 849,208,085,948.25

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Solution

The third proportional to 388,029,426,165 and 849,208,085,948.25 is: 1,858,504,341,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,029,426,165 : 849,208,085,948.25 = 849,208,085,948.25 : x
  2. Step 2: Convert to fraction form
    388,029,426,165/849,208,085,948.25 = 849,208,085,948.25/x
  3. Step 3: Cross multiply
    388,029,426,165x = 849,208,085,948.25 × 849,208,085,948.25
  4. Step 4: Simplify right side
    388,029,426,165x = 721,154,373,239,890,298,011,648
  5. Step 5: Solve for x
    x = 721,154,373,239,890,298,011,648/388,029,426,165
  6. Step 6: Final answer
    x = 1,858,504,341,712.57

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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.