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Finding the Third Proportional to 30,695,877,549 and 66,796,918,791

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Solution

The third proportional to 30,695,877,549 and 66,796,918,791 is: 145,355,947,320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,695,877,549 : 66,796,918,791 = 66,796,918,791 : x
  2. Step 2: Convert to fraction form
    30,695,877,549/66,796,918,791 = 66,796,918,791/x
  3. Step 3: Cross multiply
    30,695,877,549x = 66,796,918,791 × 66,796,918,791
  4. Step 4: Simplify right side
    30,695,877,549x = 4,461,828,359,971,448,815,616
  5. Step 5: Solve for x
    x = 4,461,828,359,971,448,815,616/30,695,877,549
  6. Step 6: Final answer
    x = 145,355,947,320.58

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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.