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Finding the Third Proportional to 14,575,960 and 31,897,712

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Solution

The third proportional to 14,575,960 and 31,897,712 is: 69,804,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,575,960 : 31,897,712 = 31,897,712 : x
  2. Step 2: Convert to fraction form
    14,575,960/31,897,712 = 31,897,712/x
  3. Step 3: Cross multiply
    14,575,960x = 31,897,712 × 31,897,712
  4. Step 4: Simplify right side
    14,575,960x = 1,017,464,030,834,944
  5. Step 5: Solve for x
    x = 1,017,464,030,834,944/14,575,960
  6. Step 6: Final answer
    x = 69,804,255.15

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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.