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Finding the Third Proportional to 30,695,877,214 and 66,796,918,104

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Solution

The third proportional to 30,695,877,214 and 66,796,918,104 is: 145,355,945,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695,877,214 : 66,796,918,104 = 66,796,918,104 : x
  2. Step 2: Convert to fraction form
    30,695,877,214/66,796,918,104 = 66,796,918,104/x
  3. Step 3: Cross multiply
    30,695,877,214x = 66,796,918,104 × 66,796,918,104
  4. Step 4: Simplify right side
    30,695,877,214x = 4,461,828,268,192,482,983,936
  5. Step 5: Solve for x
    x = 4,461,828,268,192,482,983,936/30,695,877,214
  6. Step 6: Final answer
    x = 145,355,945,916.98

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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.