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Finding the Third Proportional to 14,495,184 and 31,065,311

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Solution

The third proportional to 14,495,184 and 31,065,311 is: 66,577,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495,184 : 31,065,311 = 31,065,311 : x
  2. Step 2: Convert to fraction form
    14,495,184/31,065,311 = 31,065,311/x
  3. Step 3: Cross multiply
    14,495,184x = 31,065,311 × 31,065,311
  4. Step 4: Simplify right side
    14,495,184x = 965,053,547,526,721
  5. Step 5: Solve for x
    x = 965,053,547,526,721/14,495,184
  6. Step 6: Final answer
    x = 66,577,529.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.