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Finding the Third Proportional to 830,537,384 and 1,792,391,344

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Solution

The third proportional to 830,537,384 and 1,792,391,344 is: 3,868,178,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,537,384 : 1,792,391,344 = 1,792,391,344 : x
  2. Step 2: Convert to fraction form
    830,537,384/1,792,391,344 = 1,792,391,344/x
  3. Step 3: Cross multiply
    830,537,384x = 1,792,391,344 × 1,792,391,344
  4. Step 4: Simplify right side
    830,537,384x = 3,212,666,730,046,126,080
  5. Step 5: Solve for x
    x = 3,212,666,730,046,126,080/830,537,384
  6. Step 6: Final answer
    x = 3,868,178,352.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.