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Finding the Third Proportional to 61,369,932 and 130,307,856

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Solution

The third proportional to 61,369,932 and 130,307,856 is: 276,684,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,369,932 : 130,307,856 = 130,307,856 : x
  2. Step 2: Convert to fraction form
    61,369,932/130,307,856 = 130,307,856/x
  3. Step 3: Cross multiply
    61,369,932x = 130,307,856 × 130,307,856
  4. Step 4: Simplify right side
    61,369,932x = 16,980,137,335,316,736
  5. Step 5: Solve for x
    x = 16,980,137,335,316,736/61,369,932
  6. Step 6: Final answer
    x = 276,684,962.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.