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Finding the Third Proportional to 6,518,072 and 9,577,335

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Solution

The third proportional to 6,518,072 and 9,577,335 is: 14,072,465.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,518,072 : 9,577,335 = 9,577,335 : x
  2. Step 2: Convert to fraction form
    6,518,072/9,577,335 = 9,577,335/x
  3. Step 3: Cross multiply
    6,518,072x = 9,577,335 × 9,577,335
  4. Step 4: Simplify right side
    6,518,072x = 91,725,345,702,225
  5. Step 5: Solve for x
    x = 91,725,345,702,225/6,518,072
  6. Step 6: Final answer
    x = 14,072,465.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.