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Finding the Third Proportional to 23,927,637,932 and 52,358,326,396

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Solution

The third proportional to 23,927,637,932 and 52,358,326,396 is: 114,570,203,326.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927,637,932 : 52,358,326,396 = 52,358,326,396 : x
  2. Step 2: Convert to fraction form
    23,927,637,932/52,358,326,396 = 52,358,326,396/x
  3. Step 3: Cross multiply
    23,927,637,932x = 52,358,326,396 × 52,358,326,396
  4. Step 4: Simplify right side
    23,927,637,932x = 2,741,394,342,990,070,153,216
  5. Step 5: Solve for x
    x = 2,741,394,342,990,070,153,216/23,927,637,932
  6. Step 6: Final answer
    x = 114,570,203,326.42

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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.