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Finding the Third Proportional to 64,055,359,752 and 137,750,830,884.75

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Solution

The third proportional to 64,055,359,752 and 137,750,830,884.75 is: 296,232,688,145.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,055,359,752 : 137,750,830,884.75 = 137,750,830,884.75 : x
  2. Step 2: Convert to fraction form
    64,055,359,752/137,750,830,884.75 = 137,750,830,884.75/x
  3. Step 3: Cross multiply
    64,055,359,752x = 137,750,830,884.75 × 137,750,830,884.75
  4. Step 4: Simplify right side
    64,055,359,752x = 18,975,291,409,438,993,285,120
  5. Step 5: Solve for x
    x = 18,975,291,409,438,993,285,120/64,055,359,752
  6. Step 6: Final answer
    x = 296,232,688,145.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.