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Finding the Third Proportional to 34,369,354,971 and 51,342,363,904.50

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Solution

The third proportional to 34,369,354,971 and 51,342,363,904.50 is: 76,697,346,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,369,354,971 : 51,342,363,904.50 = 51,342,363,904.50 : x
  2. Step 2: Convert to fraction form
    34,369,354,971/51,342,363,904.50 = 51,342,363,904.50/x
  3. Step 3: Cross multiply
    34,369,354,971x = 51,342,363,904.50 × 51,342,363,904.50
  4. Step 4: Simplify right side
    34,369,354,971x = 2,636,038,331,302,104,530,944
  5. Step 5: Solve for x
    x = 2,636,038,331,302,104,530,944/34,369,354,971
  6. Step 6: Final answer
    x = 76,697,346,619.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.