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Finding the Third Proportional to 14,977,298 and 32,341,153

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Solution

The third proportional to 14,977,298 and 32,341,153 is: 69,835,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,977,298 : 32,341,153 = 32,341,153 : x
  2. Step 2: Convert to fraction form
    14,977,298/32,341,153 = 32,341,153/x
  3. Step 3: Cross multiply
    14,977,298x = 32,341,153 × 32,341,153
  4. Step 4: Simplify right side
    14,977,298x = 1,045,950,177,369,409
  5. Step 5: Solve for x
    x = 1,045,950,177,369,409/14,977,298
  6. Step 6: Final answer
    x = 69,835,705.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.