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Finding the Third Proportional to 9,997,361,479.13 and 21,499,291,478.25

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Solution

The third proportional to 9,997,361,479.13 and 21,499,291,478.25 is: 46,234,152,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,997,361,479.13 : 21,499,291,478.25 = 21,499,291,478.25 : x
  2. Step 2: Convert to fraction form
    9,997,361,479.13/21,499,291,478.25 = 21,499,291,478.25/x
  3. Step 3: Cross multiply
    9,997,361,479.13x = 21,499,291,478.25 × 21,499,291,478.25
  4. Step 4: Simplify right side
    9,997,361,479.13x = 462,219,534,066,753,077,248
  5. Step 5: Solve for x
    x = 462,219,534,066,753,077,248/9,997,361,479.13
  6. Step 6: Final answer
    x = 46,234,152,384.30

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1.5x scale

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.