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Finding the Third Proportional to 51,048,022 and 112,014,656

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Solution

The third proportional to 51,048,022 and 112,014,656 is: 245,793,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,048,022 : 112,014,656 = 112,014,656 : x
  2. Step 2: Convert to fraction form
    51,048,022/112,014,656 = 112,014,656/x
  3. Step 3: Cross multiply
    51,048,022x = 112,014,656 × 112,014,656
  4. Step 4: Simplify right side
    51,048,022x = 12,547,283,158,798,336
  5. Step 5: Solve for x
    x = 12,547,283,158,798,336/51,048,022
  6. Step 6: Final answer
    x = 245,793,718.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.