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Finding the Third Proportional to 35,802,364 and 53,032,257

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Solution

The third proportional to 35,802,364 and 53,032,257 is: 78,554,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802,364 : 53,032,257 = 53,032,257 : x
  2. Step 2: Convert to fraction form
    35,802,364/53,032,257 = 53,032,257/x
  3. Step 3: Cross multiply
    35,802,364x = 53,032,257 × 53,032,257
  4. Step 4: Simplify right side
    35,802,364x = 2,812,420,282,514,049
  5. Step 5: Solve for x
    x = 2,812,420,282,514,049/35,802,364
  6. Step 6: Final answer
    x = 78,554,038.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.