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Finding the Third Proportional to 388,029,426,165 and 849,208,085,948.32

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Solution

The third proportional to 388,029,426,165 and 849,208,085,948.32 is: 1,858,504,341,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,029,426,165 : 849,208,085,948.32 = 849,208,085,948.32 : x
  2. Step 2: Convert to fraction form
    388,029,426,165/849,208,085,948.32 = 849,208,085,948.32/x
  3. Step 3: Cross multiply
    388,029,426,165x = 849,208,085,948.32 × 849,208,085,948.32
  4. Step 4: Simplify right side
    388,029,426,165x = 721,154,373,240,009,214,918,656
  5. Step 5: Solve for x
    x = 721,154,373,240,009,214,918,656/388,029,426,165
  6. Step 6: Final answer
    x = 1,858,504,341,712.88

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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.