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Finding the Third Proportional to 5,684,941.63 and 8,746,985.44

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Solution

The third proportional to 5,684,941.63 and 8,746,985.44 is: 13,458,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,941.63 : 8,746,985.44 = 8,746,985.44 : x
  2. Step 2: Convert to fraction form
    5,684,941.63/8,746,985.44 = 8,746,985.44/x
  3. Step 3: Cross multiply
    5,684,941.63x = 8,746,985.44 × 8,746,985.44
  4. Step 4: Simplify right side
    5,684,941.63x = 76,509,754,243,837.06
  5. Step 5: Solve for x
    x = 76,509,754,243,837.06/5,684,941.63
  6. Step 6: Final answer
    x = 13,458,318.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.