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Finding the Third Proportional to 429,360,129 and 943,069,284

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Solution

The third proportional to 429,360,129 and 943,069,284 is: 2,071,407,227.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,360,129 : 943,069,284 = 943,069,284 : x
  2. Step 2: Convert to fraction form
    429,360,129/943,069,284 = 943,069,284/x
  3. Step 3: Cross multiply
    429,360,129x = 943,069,284 × 943,069,284
  4. Step 4: Simplify right side
    429,360,129x = 889,379,674,424,272,640
  5. Step 5: Solve for x
    x = 889,379,674,424,272,640/429,360,129
  6. Step 6: Final answer
    x = 2,071,407,227.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.