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Finding the Third Proportional to 30,904,976,835 and 66,944,178,927

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Solution

The third proportional to 30,904,976,835 and 66,944,178,927 is: 145,009,754,129.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,904,976,835 : 66,944,178,927 = 66,944,178,927 : x
  2. Step 2: Convert to fraction form
    30,904,976,835/66,944,178,927 = 66,944,178,927/x
  3. Step 3: Cross multiply
    30,904,976,835x = 66,944,178,927 × 66,944,178,927
  4. Step 4: Simplify right side
    30,904,976,835x = 4,481,523,092,210,190,909,440
  5. Step 5: Solve for x
    x = 4,481,523,092,210,190,909,440/30,904,976,835
  6. Step 6: Final answer
    x = 145,009,754,129.14

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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.