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Finding the Third Proportional to 4,477,068,214 and 9,583,058,100

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Solution

The third proportional to 4,477,068,214 and 9,583,058,100 is: 20,512,308,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,477,068,214 : 9,583,058,100 = 9,583,058,100 : x
  2. Step 2: Convert to fraction form
    4,477,068,214/9,583,058,100 = 9,583,058,100/x
  3. Step 3: Cross multiply
    4,477,068,214x = 9,583,058,100 × 9,583,058,100
  4. Step 4: Simplify right side
    4,477,068,214x = 91,835,002,547,975,602,176
  5. Step 5: Solve for x
    x = 91,835,002,547,975,602,176/4,477,068,214
  6. Step 6: Final answer
    x = 20,512,308,090.55

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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.