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Finding the Third Proportional to 77,360,010 and 117,036,594

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Solution

The third proportional to 77,360,010 and 117,036,594 is: 177,062,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,360,010 : 117,036,594 = 117,036,594 : x
  2. Step 2: Convert to fraction form
    77,360,010/117,036,594 = 117,036,594/x
  3. Step 3: Cross multiply
    77,360,010x = 117,036,594 × 117,036,594
  4. Step 4: Simplify right side
    77,360,010x = 13,697,564,335,120,836
  5. Step 5: Solve for x
    x = 13,697,564,335,120,836/77,360,010
  6. Step 6: Final answer
    x = 177,062,597.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.