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Finding the Third Proportional to 24,887,663,136 and 36,386,633,430

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Solution

The third proportional to 24,887,663,136 and 36,386,633,430 is: 53,198,529,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,887,663,136 : 36,386,633,430 = 36,386,633,430 : x
  2. Step 2: Convert to fraction form
    24,887,663,136/36,386,633,430 = 36,386,633,430/x
  3. Step 3: Cross multiply
    24,887,663,136x = 36,386,633,430 × 36,386,633,430
  4. Step 4: Simplify right side
    24,887,663,136x = 1,323,987,092,369,193,566,208
  5. Step 5: Solve for x
    x = 1,323,987,092,369,193,566,208/24,887,663,136
  6. Step 6: Final answer
    x = 53,198,529,935.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.