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Finding the Third Proportional to 1,707,342,323.63 and 3,807,257,978.25

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Solution

The third proportional to 1,707,342,323.63 and 3,807,257,978.25 is: 8,489,927,949.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707,342,323.63 : 3,807,257,978.25 = 3,807,257,978.25 : x
  2. Step 2: Convert to fraction form
    1,707,342,323.63/3,807,257,978.25 = 3,807,257,978.25/x
  3. Step 3: Cross multiply
    1,707,342,323.63x = 3,807,257,978.25 × 3,807,257,978.25
  4. Step 4: Simplify right side
    1,707,342,323.63x = 14,495,213,312,948,277,248
  5. Step 5: Solve for x
    x = 14,495,213,312,948,277,248/1,707,342,323.63
  6. Step 6: Final answer
    x = 8,489,927,949.64

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.