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Finding the Third Proportional to 30,032,968,922 and 40,899,777,402

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Solution

The third proportional to 30,032,968,922 and 40,899,777,402 is: 55,698,515,717.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032,968,922 : 40,899,777,402 = 40,899,777,402 : x
  2. Step 2: Convert to fraction form
    30,032,968,922/40,899,777,402 = 40,899,777,402/x
  3. Step 3: Cross multiply
    30,032,968,922x = 40,899,777,402 × 40,899,777,402
  4. Step 4: Simplify right side
    30,032,968,922x = 1,672,791,791,533,149,913,088
  5. Step 5: Solve for x
    x = 1,672,791,791,533,149,913,088/30,032,968,922
  6. Step 6: Final answer
    x = 55,698,515,717.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.