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Finding the Third Proportional to 35,490,291,142 and 55,129,489,440

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Solution

The third proportional to 35,490,291,142 and 55,129,489,440 is: 85,636,395,423.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,490,291,142 : 55,129,489,440 = 55,129,489,440 : x
  2. Step 2: Convert to fraction form
    35,490,291,142/55,129,489,440 = 55,129,489,440/x
  3. Step 3: Cross multiply
    35,490,291,142x = 55,129,489,440 × 55,129,489,440
  4. Step 4: Simplify right side
    35,490,291,142x = 3,039,260,605,915,071,512,576
  5. Step 5: Solve for x
    x = 3,039,260,605,915,071,512,576/35,490,291,142
  6. Step 6: Final answer
    x = 85,636,395,423.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.