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Finding the Third Proportional to 14,287,312 and 31,349,311

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Solution

The third proportional to 14,287,312 and 31,349,311 is: 68,786,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287,312 : 31,349,311 = 31,349,311 : x
  2. Step 2: Convert to fraction form
    14,287,312/31,349,311 = 31,349,311/x
  3. Step 3: Cross multiply
    14,287,312x = 31,349,311 × 31,349,311
  4. Step 4: Simplify right side
    14,287,312x = 982,779,300,174,721
  5. Step 5: Solve for x
    x = 982,779,300,174,721/14,287,312
  6. Step 6: Final answer
    x = 68,786,857.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.