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Finding the Third Proportional to 477,352,028.25 and 713,088,371.81

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Solution

The third proportional to 477,352,028.25 and 713,088,371.81 is: 1,065,241,155.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,028.25 : 713,088,371.81 = 713,088,371.81 : x
  2. Step 2: Convert to fraction form
    477,352,028.25/713,088,371.81 = 713,088,371.81/x
  3. Step 3: Cross multiply
    477,352,028.25x = 713,088,371.81 × 713,088,371.81
  4. Step 4: Simplify right side
    477,352,028.25x = 508,495,026,014,202,240
  5. Step 5: Solve for x
    x = 508,495,026,014,202,240/477,352,028.25
  6. Step 6: Final answer
    x = 1,065,241,155.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.