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Finding the Third Proportional to 9,507,234,287,412 and 20,593,155,993,819

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Solution

The third proportional to 9,507,234,287,412 and 20,593,155,993,819 is: 44,605,829,725,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507,234,287,412 : 20,593,155,993,819 = 20,593,155,993,819 : x
  2. Step 2: Convert to fraction form
    9,507,234,287,412/20,593,155,993,819 = 20,593,155,993,819/x
  3. Step 3: Cross multiply
    9,507,234,287,412x = 20,593,155,993,819 × 20,593,155,993,819
  4. Step 4: Simplify right side
    9,507,234,287,412x = 424,078,073,785,763,411,160,727,552
  5. Step 5: Solve for x
    x = 424,078,073,785,763,411,160,727,552/9,507,234,287,412
  6. Step 6: Final answer
    x = 44,605,829,725,608.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.