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Finding the Third Proportional to 9,139,547,216 and 19,901,633,416

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Solution

The third proportional to 9,139,547,216 and 19,901,633,416 is: 43,336,393,287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139,547,216 : 19,901,633,416 = 19,901,633,416 : x
  2. Step 2: Convert to fraction form
    9,139,547,216/19,901,633,416 = 19,901,633,416/x
  3. Step 3: Cross multiply
    9,139,547,216x = 19,901,633,416 × 19,901,633,416
  4. Step 4: Simplify right side
    9,139,547,216x = 396,075,012,624,847,798,272
  5. Step 5: Solve for x
    x = 396,075,012,624,847,798,272/9,139,547,216
  6. Step 6: Final answer
    x = 43,336,393,287.78

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