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Finding the Third Proportional to 164,535,565,080 and 333,697,495,791

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Solution

The third proportional to 164,535,565,080 and 333,697,495,791 is: 676,777,805,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,535,565,080 : 333,697,495,791 = 333,697,495,791 : x
  2. Step 2: Convert to fraction form
    164,535,565,080/333,697,495,791 = 333,697,495,791/x
  3. Step 3: Cross multiply
    164,535,565,080x = 333,697,495,791 × 333,697,495,791
  4. Step 4: Simplify right side
    164,535,565,080x = 111,354,018,697,184,465,125,376
  5. Step 5: Solve for x
    x = 111,354,018,697,184,465,125,376/164,535,565,080
  6. Step 6: Final answer
    x = 676,777,805,716.61

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.