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Finding the Third Proportional to 3,932,746,284 and 8,426,444,592

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Solution

The third proportional to 3,932,746,284 and 8,426,444,592 is: 18,054,805,302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,932,746,284 : 8,426,444,592 = 8,426,444,592 : x
  2. Step 2: Convert to fraction form
    3,932,746,284/8,426,444,592 = 8,426,444,592/x
  3. Step 3: Cross multiply
    3,932,746,284x = 8,426,444,592 × 8,426,444,592
  4. Step 4: Simplify right side
    3,932,746,284x = 71,004,968,462,046,044,160
  5. Step 5: Solve for x
    x = 71,004,968,462,046,044,160/3,932,746,284
  6. Step 6: Final answer
    x = 18,054,805,302.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.