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Finding the Third Proportional to 9,392,875,400 and 20,130,312,541

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Solution

The third proportional to 9,392,875,400 and 20,130,312,541 is: 43,142,218,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392,875,400 : 20,130,312,541 = 20,130,312,541 : x
  2. Step 2: Convert to fraction form
    9,392,875,400/20,130,312,541 = 20,130,312,541/x
  3. Step 3: Cross multiply
    9,392,875,400x = 20,130,312,541 × 20,130,312,541
  4. Step 4: Simplify right side
    9,392,875,400x = 405,229,482,998,341,894,144
  5. Step 5: Solve for x
    x = 405,229,482,998,341,894,144/9,392,875,400
  6. Step 6: Final answer
    x = 43,142,218,515.79

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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.