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Finding the Third Proportional to 30,695,877,207 and 66,796,918,092

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Solution

The third proportional to 30,695,877,207 and 66,796,918,092 is: 145,355,945,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695,877,207 : 66,796,918,092 = 66,796,918,092 : x
  2. Step 2: Convert to fraction form
    30,695,877,207/66,796,918,092 = 66,796,918,092/x
  3. Step 3: Cross multiply
    30,695,877,207x = 66,796,918,092 × 66,796,918,092
  4. Step 4: Simplify right side
    30,695,877,207x = 4,461,828,266,589,357,080,576
  5. Step 5: Solve for x
    x = 4,461,828,266,589,357,080,576/30,695,877,207
  6. Step 6: Final answer
    x = 145,355,945,897.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.