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Finding the Third Proportional to 9,316,348 and 14,814,342

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Solution

The third proportional to 9,316,348 and 14,814,342 is: 23,556,948.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,316,348 : 14,814,342 = 14,814,342 : x
  2. Step 2: Convert to fraction form
    9,316,348/14,814,342 = 14,814,342/x
  3. Step 3: Cross multiply
    9,316,348x = 14,814,342 × 14,814,342
  4. Step 4: Simplify right side
    9,316,348x = 219,464,728,892,964
  5. Step 5: Solve for x
    x = 219,464,728,892,964/9,316,348
  6. Step 6: Final answer
    x = 23,556,948.38

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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.