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Finding the Third Proportional to 358,371,131,212.50 and 767,859,010,386

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Solution

The third proportional to 358,371,131,212.50 and 767,859,010,386 is: 1,645,242,622,741.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,371,131,212.50 : 767,859,010,386 = 767,859,010,386 : x
  2. Step 2: Convert to fraction form
    358,371,131,212.50/767,859,010,386 = 767,859,010,386/x
  3. Step 3: Cross multiply
    358,371,131,212.50x = 767,859,010,386 × 767,859,010,386
  4. Step 4: Simplify right side
    358,371,131,212.50x = 589,607,459,830,967,251,763,200
  5. Step 5: Solve for x
    x = 589,607,459,830,967,251,763,200/358,371,131,212.50
  6. Step 6: Final answer
    x = 1,645,242,622,741.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.