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Finding the Third Proportional to 9,927,460,656 and 21,271,201,830

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Solution

The third proportional to 9,927,460,656 and 21,271,201,830 is: 45,577,015,409.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,927,460,656 : 21,271,201,830 = 21,271,201,830 : x
  2. Step 2: Convert to fraction form
    9,927,460,656/21,271,201,830 = 21,271,201,830/x
  3. Step 3: Cross multiply
    9,927,460,656x = 21,271,201,830 × 21,271,201,830
  4. Step 4: Simplify right side
    9,927,460,656x = 452,464,027,292,595,322,880
  5. Step 5: Solve for x
    x = 452,464,027,292,595,322,880/9,927,460,656
  6. Step 6: Final answer
    x = 45,577,015,409.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.