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Finding the Third Proportional to 14,095,698 and 22,429,248

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Solution

The third proportional to 14,095,698 and 22,429,248 is: 35,689,695.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,095,698 : 22,429,248 = 22,429,248 : x
  2. Step 2: Convert to fraction form
    14,095,698/22,429,248 = 22,429,248/x
  3. Step 3: Cross multiply
    14,095,698x = 22,429,248 × 22,429,248
  4. Step 4: Simplify right side
    14,095,698x = 503,071,165,845,504
  5. Step 5: Solve for x
    x = 503,071,165,845,504/14,095,698
  6. Step 6: Final answer
    x = 35,689,695.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.