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Finding the Third Proportional to 8,346,856.50 and 17,590,378.50

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Solution

The third proportional to 8,346,856.50 and 17,590,378.50 is: 37,070,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346,856.50 : 17,590,378.50 = 17,590,378.50 : x
  2. Step 2: Convert to fraction form
    8,346,856.50/17,590,378.50 = 17,590,378.50/x
  3. Step 3: Cross multiply
    8,346,856.50x = 17,590,378.50 × 17,590,378.50
  4. Step 4: Simplify right side
    8,346,856.50x = 309,421,415,773,262.25
  5. Step 5: Solve for x
    x = 309,421,415,773,262.25/8,346,856.50
  6. Step 6: Final answer
    x = 37,070,412.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.