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Finding the Third Proportional to 877,699,916.44 and 1,287,453,077.44

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Solution

The third proportional to 877,699,916.44 and 1,287,453,077.44 is: 1,888,499,013.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,699,916.44 : 1,287,453,077.44 = 1,287,453,077.44 : x
  2. Step 2: Convert to fraction form
    877,699,916.44/1,287,453,077.44 = 1,287,453,077.44/x
  3. Step 3: Cross multiply
    877,699,916.44x = 1,287,453,077.44 × 1,287,453,077.44
  4. Step 4: Simplify right side
    877,699,916.44x = 1,657,535,426,603,289,344
  5. Step 5: Solve for x
    x = 1,657,535,426,603,289,344/877,699,916.44
  6. Step 6: Final answer
    x = 1,888,499,013.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.