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Finding the Third Proportional to 24,373,841,480 and 33,679,111,844

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Solution

The third proportional to 24,373,841,480 and 33,679,111,844 is: 46,536,881,579.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373,841,480 : 33,679,111,844 = 33,679,111,844 : x
  2. Step 2: Convert to fraction form
    24,373,841,480/33,679,111,844 = 33,679,111,844/x
  3. Step 3: Cross multiply
    24,373,841,480x = 33,679,111,844 × 33,679,111,844
  4. Step 4: Simplify right side
    24,373,841,480x = 1,134,282,574,600,661,106,688
  5. Step 5: Solve for x
    x = 1,134,282,574,600,661,106,688/24,373,841,480
  6. Step 6: Final answer
    x = 46,536,881,579.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.