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Finding the Third Proportional to 5,146,094 and 7,547,259

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Solution

The third proportional to 5,146,094 and 7,547,259 is: 11,068,806.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146,094 : 7,547,259 = 7,547,259 : x
  2. Step 2: Convert to fraction form
    5,146,094/7,547,259 = 7,547,259/x
  3. Step 3: Cross multiply
    5,146,094x = 7,547,259 × 7,547,259
  4. Step 4: Simplify right side
    5,146,094x = 56,961,118,413,081
  5. Step 5: Solve for x
    x = 56,961,118,413,081/5,146,094
  6. Step 6: Final answer
    x = 11,068,806.44

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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.