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Finding the Third Proportional to 388,029,272,559 and 849,207,927,573

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Solution

The third proportional to 388,029,272,559 and 849,207,927,573 is: 1,858,504,384,210.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,029,272,559 : 849,207,927,573 = 849,207,927,573 : x
  2. Step 2: Convert to fraction form
    388,029,272,559/849,207,927,573 = 849,207,927,573/x
  3. Step 3: Cross multiply
    388,029,272,559x = 849,207,927,573 × 849,207,927,573
  4. Step 4: Simplify right side
    388,029,272,559x = 721,154,104,252,829,634,920,448
  5. Step 5: Solve for x
    x = 721,154,104,252,829,634,920,448/388,029,272,559
  6. Step 6: Final answer
    x = 1,858,504,384,210.29

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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.