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Finding the Third Proportional to 477,352,032 and 713,088,376.50

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Solution

The third proportional to 477,352,032 and 713,088,376.50 is: 1,065,241,160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,032 : 713,088,376.50 = 713,088,376.50 : x
  2. Step 2: Convert to fraction form
    477,352,032/713,088,376.50 = 713,088,376.50/x
  3. Step 3: Cross multiply
    477,352,032x = 713,088,376.50 × 713,088,376.50
  4. Step 4: Simplify right side
    477,352,032x = 508,495,032,699,405,760
  5. Step 5: Solve for x
    x = 508,495,032,699,405,760/477,352,032
  6. Step 6: Final answer
    x = 1,065,241,160.85

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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.