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Finding the Third Proportional to 377,730,256.50 and 816,891,763.50

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Solution

The third proportional to 377,730,256.50 and 816,891,763.50 is: 1,766,636,751.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,730,256.50 : 816,891,763.50 = 816,891,763.50 : x
  2. Step 2: Convert to fraction form
    377,730,256.50/816,891,763.50 = 816,891,763.50/x
  3. Step 3: Cross multiply
    377,730,256.50x = 816,891,763.50 × 816,891,763.50
  4. Step 4: Simplify right side
    377,730,256.50x = 667,312,153,274,139,904
  5. Step 5: Solve for x
    x = 667,312,153,274,139,904/377,730,256.50
  6. Step 6: Final answer
    x = 1,766,636,751.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.