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Finding the Third Proportional to 830,490,305 and 1,960,450,660

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Solution

The third proportional to 830,490,305 and 1,960,450,660 is: 4,627,828,605.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,490,305 : 1,960,450,660 = 1,960,450,660 : x
  2. Step 2: Convert to fraction form
    830,490,305/1,960,450,660 = 1,960,450,660/x
  3. Step 3: Cross multiply
    830,490,305x = 1,960,450,660 × 1,960,450,660
  4. Step 4: Simplify right side
    830,490,305x = 3,843,366,790,294,435,840
  5. Step 5: Solve for x
    x = 3,843,366,790,294,435,840/830,490,305
  6. Step 6: Final answer
    x = 4,627,828,605.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.