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Finding the Third Proportional to 29,830,775,594 and 64,626,710,932

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Solution

The third proportional to 29,830,775,594 and 64,626,710,932 is: 140,010,163,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830,775,594 : 64,626,710,932 = 64,626,710,932 : x
  2. Step 2: Convert to fraction form
    29,830,775,594/64,626,710,932 = 64,626,710,932/x
  3. Step 3: Cross multiply
    29,830,775,594x = 64,626,710,932 × 64,626,710,932
  4. Step 4: Simplify right side
    29,830,775,594x = 4,176,611,765,888,288,292,864
  5. Step 5: Solve for x
    x = 4,176,611,765,888,288,292,864/29,830,775,594
  6. Step 6: Final answer
    x = 140,010,163,420.91

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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.