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Finding the Third Proportional to 64,985,905 and 142,727,114

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Solution

The third proportional to 64,985,905 and 142,727,114 is: 313,468,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,985,905 : 142,727,114 = 142,727,114 : x
  2. Step 2: Convert to fraction form
    64,985,905/142,727,114 = 142,727,114/x
  3. Step 3: Cross multiply
    64,985,905x = 142,727,114 × 142,727,114
  4. Step 4: Simplify right side
    64,985,905x = 20,371,029,070,768,996
  5. Step 5: Solve for x
    x = 20,371,029,070,768,996/64,985,905
  6. Step 6: Final answer
    x = 313,468,421.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.