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Finding the Third Proportional to 386,861,973.19 and 849,724,030.41

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Solution

The third proportional to 386,861,973.19 and 849,724,030.41 is: 1,866,378,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,861,973.19 : 849,724,030.41 = 849,724,030.41 : x
  2. Step 2: Convert to fraction form
    386,861,973.19/849,724,030.41 = 849,724,030.41/x
  3. Step 3: Cross multiply
    386,861,973.19x = 849,724,030.41 × 849,724,030.41
  4. Step 4: Simplify right side
    386,861,973.19x = 722,030,927,849,841,664
  5. Step 5: Solve for x
    x = 722,030,927,849,841,664/386,861,973.19
  6. Step 6: Final answer
    x = 1,866,378,651.54

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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.