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Finding the Third Proportional to 40,051,873,428 and 83,399,848,752

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Solution

The third proportional to 40,051,873,428 and 83,399,848,752 is: 173,663,156,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,051,873,428 : 83,399,848,752 = 83,399,848,752 : x
  2. Step 2: Convert to fraction form
    40,051,873,428/83,399,848,752 = 83,399,848,752/x
  3. Step 3: Cross multiply
    40,051,873,428x = 83,399,848,752 × 83,399,848,752
  4. Step 4: Simplify right side
    40,051,873,428x = 6,955,534,771,856,476,209,152
  5. Step 5: Solve for x
    x = 6,955,534,771,856,476,209,152/40,051,873,428
  6. Step 6: Final answer
    x = 173,663,156,715.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.