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Finding the Third Proportional to 4,869,910 and 7,710,968.50

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Solution

The third proportional to 4,869,910 and 7,710,968.50 is: 12,209,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,910 : 7,710,968.50 = 7,710,968.50 : x
  2. Step 2: Convert to fraction form
    4,869,910/7,710,968.50 = 7,710,968.50/x
  3. Step 3: Cross multiply
    4,869,910x = 7,710,968.50 × 7,710,968.50
  4. Step 4: Simplify right side
    4,869,910x = 59,459,035,207,992.25
  5. Step 5: Solve for x
    x = 59,459,035,207,992.25/4,869,910
  6. Step 6: Final answer
    x = 12,209,473.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.