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Finding the Third Proportional to 64,055,359,851 and 137,750,831,089

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Solution

The third proportional to 64,055,359,851 and 137,750,831,089 is: 296,232,688,565.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,055,359,851 : 137,750,831,089 = 137,750,831,089 : x
  2. Step 2: Convert to fraction form
    64,055,359,851/137,750,831,089 = 137,750,831,089/x
  3. Step 3: Cross multiply
    64,055,359,851x = 137,750,831,089 × 137,750,831,089
  4. Step 4: Simplify right side
    64,055,359,851x = 18,975,291,465,710,207,762,432
  5. Step 5: Solve for x
    x = 18,975,291,465,710,207,762,432/64,055,359,851
  6. Step 6: Final answer
    x = 296,232,688,565.78

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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.