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Finding the Third Proportional to 779,176,673.63 and 1,714,187,136.38

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Solution

The third proportional to 779,176,673.63 and 1,714,187,136.38 is: 3,771,208,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,176,673.63 : 1,714,187,136.38 = 1,714,187,136.38 : x
  2. Step 2: Convert to fraction form
    779,176,673.63/1,714,187,136.38 = 1,714,187,136.38/x
  3. Step 3: Cross multiply
    779,176,673.63x = 1,714,187,136.38 × 1,714,187,136.38
  4. Step 4: Simplify right side
    779,176,673.63x = 2,938,437,538,513,522,688
  5. Step 5: Solve for x
    x = 2,938,437,538,513,522,688/779,176,673.63
  6. Step 6: Final answer
    x = 3,771,208,299.71

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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.