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Finding the Third Proportional to 369,290,968 and 799,863,646

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Solution

The third proportional to 369,290,968 and 799,863,646 is: 1,732,460,058.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,290,968 : 799,863,646 = 799,863,646 : x
  2. Step 2: Convert to fraction form
    369,290,968/799,863,646 = 799,863,646/x
  3. Step 3: Cross multiply
    369,290,968x = 799,863,646 × 799,863,646
  4. Step 4: Simplify right side
    369,290,968x = 639,781,852,192,413,312
  5. Step 5: Solve for x
    x = 639,781,852,192,413,312/369,290,968
  6. Step 6: Final answer
    x = 1,732,460,058.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.