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Finding the Third Proportional to 307,709,453,088 and 668,389,341,312

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Solution

The third proportional to 307,709,453,088 and 668,389,341,312 is: 1,451,838,112,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,709,453,088 : 668,389,341,312 = 668,389,341,312 : x
  2. Step 2: Convert to fraction form
    307,709,453,088/668,389,341,312 = 668,389,341,312/x
  3. Step 3: Cross multiply
    307,709,453,088x = 668,389,341,312 × 668,389,341,312
  4. Step 4: Simplify right side
    307,709,453,088x = 446,744,311,579,489,226,194,944
  5. Step 5: Solve for x
    x = 446,744,311,579,489,226,194,944/307,709,453,088
  6. Step 6: Final answer
    x = 1,451,838,112,531.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.