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Finding the Third Proportional to 9,824,111,583 and 21,369,509,091

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Solution

The third proportional to 9,824,111,583 and 21,369,509,091 is: 46,483,177,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,111,583 : 21,369,509,091 = 21,369,509,091 : x
  2. Step 2: Convert to fraction form
    9,824,111,583/21,369,509,091 = 21,369,509,091/x
  3. Step 3: Cross multiply
    9,824,111,583x = 21,369,509,091 × 21,369,509,091
  4. Step 4: Simplify right side
    9,824,111,583x = 456,655,918,790,331,662,336
  5. Step 5: Solve for x
    x = 456,655,918,790,331,662,336/9,824,111,583
  6. Step 6: Final answer
    x = 46,483,177,123.17

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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.