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Finding the Third Proportional to 55,721,537,814 and 85,202,892,445.50

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Solution

The third proportional to 55,721,537,814 and 85,202,892,445.50 is: 130,282,349,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,721,537,814 : 85,202,892,445.50 = 85,202,892,445.50 : x
  2. Step 2: Convert to fraction form
    55,721,537,814/85,202,892,445.50 = 85,202,892,445.50/x
  3. Step 3: Cross multiply
    55,721,537,814x = 85,202,892,445.50 × 85,202,892,445.50
  4. Step 4: Simplify right side
    55,721,537,814x = 7,259,532,881,079,440,506,880
  5. Step 5: Solve for x
    x = 7,259,532,881,079,440,506,880/55,721,537,814
  6. Step 6: Final answer
    x = 130,282,349,803.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.