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Finding the Third Proportional to 9,139,547,214 and 19,901,633,412

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Solution

The third proportional to 9,139,547,214 and 19,901,633,412 is: 43,336,393,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139,547,214 : 19,901,633,412 = 19,901,633,412 : x
  2. Step 2: Convert to fraction form
    9,139,547,214/19,901,633,412 = 19,901,633,412/x
  3. Step 3: Cross multiply
    9,139,547,214x = 19,901,633,412 × 19,901,633,412
  4. Step 4: Simplify right side
    9,139,547,214x = 396,075,012,465,634,770,944
  5. Step 5: Solve for x
    x = 396,075,012,465,634,770,944/9,139,547,214
  6. Step 6: Final answer
    x = 43,336,393,279.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.