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Finding the Third Proportional to 6,163,461 and 9,580,897.50

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Solution

The third proportional to 6,163,461 and 9,580,897.50 is: 14,893,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163,461 : 9,580,897.50 = 9,580,897.50 : x
  2. Step 2: Convert to fraction form
    6,163,461/9,580,897.50 = 9,580,897.50/x
  3. Step 3: Cross multiply
    6,163,461x = 9,580,897.50 × 9,580,897.50
  4. Step 4: Simplify right side
    6,163,461x = 91,793,596,905,506.25
  5. Step 5: Solve for x
    x = 91,793,596,905,506.25/6,163,461
  6. Step 6: Final answer
    x = 14,893,190.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.