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Finding the Third Proportional to 6,859,903.50 and 10,032,214.50

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Solution

The third proportional to 6,859,903.50 and 10,032,214.50 is: 14,671,536.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,859,903.50 : 10,032,214.50 = 10,032,214.50 : x
  2. Step 2: Convert to fraction form
    6,859,903.50/10,032,214.50 = 10,032,214.50/x
  3. Step 3: Cross multiply
    6,859,903.50x = 10,032,214.50 × 10,032,214.50
  4. Step 4: Simplify right side
    6,859,903.50x = 100,645,327,774,010.25
  5. Step 5: Solve for x
    x = 100,645,327,774,010.25/6,859,903.50
  6. Step 6: Final answer
    x = 14,671,536.96

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.