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Finding the Third Proportional to 14,602,894.31 and 31,918,352.06

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Solution

The third proportional to 14,602,894.31 and 31,918,352.06 is: 69,765,703.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,602,894.31 : 31,918,352.06 = 31,918,352.06 : x
  2. Step 2: Convert to fraction form
    14,602,894.31/31,918,352.06 = 31,918,352.06/x
  3. Step 3: Cross multiply
    14,602,894.31x = 31,918,352.06 × 31,918,352.06
  4. Step 4: Simplify right side
    14,602,894.31x = 1,018,781,198,385,698
  5. Step 5: Solve for x
    x = 1,018,781,198,385,698/14,602,894.31
  6. Step 6: Final answer
    x = 69,765,703.74

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Why These Related Problems?

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