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Finding the Third Proportional to 3,328,133,065,271 and 7,157,138,712,446

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Solution

The third proportional to 3,328,133,065,271 and 7,157,138,712,446 is: 15,391,402,189,930.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328,133,065,271 : 7,157,138,712,446 = 7,157,138,712,446 : x
  2. Step 2: Convert to fraction form
    3,328,133,065,271/7,157,138,712,446 = 7,157,138,712,446/x
  3. Step 3: Cross multiply
    3,328,133,065,271x = 7,157,138,712,446 × 7,157,138,712,446
  4. Step 4: Simplify right side
    3,328,133,065,271x = 51,224,634,549,193,188,529,143,808
  5. Step 5: Solve for x
    x = 51,224,634,549,193,188,529,143,808/3,328,133,065,271
  6. Step 6: Final answer
    x = 15,391,402,189,930.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.