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Finding the Third Proportional to 5,495,335.50 and 8,406,176.50

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Solution

The third proportional to 5,495,335.50 and 8,406,176.50 is: 12,858,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495,335.50 : 8,406,176.50 = 8,406,176.50 : x
  2. Step 2: Convert to fraction form
    5,495,335.50/8,406,176.50 = 8,406,176.50/x
  3. Step 3: Cross multiply
    5,495,335.50x = 8,406,176.50 × 8,406,176.50
  4. Step 4: Simplify right side
    5,495,335.50x = 70,663,803,349,152.25
  5. Step 5: Solve for x
    x = 70,663,803,349,152.25/5,495,335.50
  6. Step 6: Final answer
    x = 12,858,869.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.