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Finding the Third Proportional to 29,830,775,592 and 64,626,710,928

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Solution

The third proportional to 29,830,775,592 and 64,626,710,928 is: 140,010,163,412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830,775,592 : 64,626,710,928 = 64,626,710,928 : x
  2. Step 2: Convert to fraction form
    29,830,775,592/64,626,710,928 = 64,626,710,928/x
  3. Step 3: Cross multiply
    29,830,775,592x = 64,626,710,928 × 64,626,710,928
  4. Step 4: Simplify right side
    29,830,775,592x = 4,176,611,765,371,274,788,864
  5. Step 5: Solve for x
    x = 4,176,611,765,371,274,788,864/29,830,775,592
  6. Step 6: Final answer
    x = 140,010,163,412.96

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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.