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Finding the Third Proportional to 9,824,130,256 and 21,369,551,984

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Solution

The third proportional to 9,824,130,256 and 21,369,551,984 is: 46,483,275,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824,130,256 : 21,369,551,984 = 21,369,551,984 : x
  2. Step 2: Convert to fraction form
    9,824,130,256/21,369,551,984 = 21,369,551,984/x
  3. Step 3: Cross multiply
    9,824,130,256x = 21,369,551,984 × 21,369,551,984
  4. Step 4: Simplify right side
    9,824,130,256x = 456,657,751,996,878,356,480
  5. Step 5: Solve for x
    x = 456,657,751,996,878,356,480/9,824,130,256
  6. Step 6: Final answer
    x = 46,483,275,373.71

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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.