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Finding the Third Proportional to 46,300,069.13 and 67,711,114.69

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Solution

The third proportional to 46,300,069.13 and 67,711,114.69 is: 99,023,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,300,069.13 : 67,711,114.69 = 67,711,114.69 : x
  2. Step 2: Convert to fraction form
    46,300,069.13/67,711,114.69 = 67,711,114.69/x
  3. Step 3: Cross multiply
    46,300,069.13x = 67,711,114.69 × 67,711,114.69
  4. Step 4: Simplify right side
    46,300,069.13x = 4,584,795,052,223,778
  5. Step 5: Solve for x
    x = 4,584,795,052,223,778/46,300,069.13
  6. Step 6: Final answer
    x = 99,023,503.40

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Why These Related Problems?

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