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Finding the Third Proportional to 23,927,637,942 and 52,358,326,416

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Solution

The third proportional to 23,927,637,942 and 52,358,326,416 is: 114,570,203,366.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927,637,942 : 52,358,326,416 = 52,358,326,416 : x
  2. Step 2: Convert to fraction form
    23,927,637,942/52,358,326,416 = 52,358,326,416/x
  3. Step 3: Cross multiply
    23,927,637,942x = 52,358,326,416 × 52,358,326,416
  4. Step 4: Simplify right side
    23,927,637,942x = 2,741,394,345,084,403,580,928
  5. Step 5: Solve for x
    x = 2,741,394,345,084,403,580,928/23,927,637,942
  6. Step 6: Final answer
    x = 114,570,203,366.06

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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.