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Finding the Third Proportional to 177,578,973,414 and 414,365,257,417.50

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Solution

The third proportional to 177,578,973,414 and 414,365,257,417.50 is: 966,885,680,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,578,973,414 : 414,365,257,417.50 = 414,365,257,417.50 : x
  2. Step 2: Convert to fraction form
    177,578,973,414/414,365,257,417.50 = 414,365,257,417.50/x
  3. Step 3: Cross multiply
    177,578,973,414x = 414,365,257,417.50 × 414,365,257,417.50
  4. Step 4: Simplify right side
    177,578,973,414x = 171,698,566,554,671,028,109,312
  5. Step 5: Solve for x
    x = 171,698,566,554,671,028,109,312/177,578,973,414
  6. Step 6: Final answer
    x = 966,885,680,515.68

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.