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Finding the Third Proportional to 23,927,637,946 and 52,358,326,424

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Solution

The third proportional to 23,927,637,946 and 52,358,326,424 is: 114,570,203,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,927,637,946 : 52,358,326,424 = 52,358,326,424 : x
  2. Step 2: Convert to fraction form
    23,927,637,946/52,358,326,424 = 52,358,326,424/x
  3. Step 3: Cross multiply
    23,927,637,946x = 52,358,326,424 × 52,358,326,424
  4. Step 4: Simplify right side
    23,927,637,946x = 2,741,394,345,922,136,637,440
  5. Step 5: Solve for x
    x = 2,741,394,345,922,136,637,440/23,927,637,946
  6. Step 6: Final answer
    x = 114,570,203,381.92

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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.