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Finding the Third Proportional to 477,352,161 and 713,088,400.50

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Solution

The third proportional to 477,352,161 and 713,088,400.50 is: 1,065,240,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,352,161 : 713,088,400.50 = 713,088,400.50 : x
  2. Step 2: Convert to fraction form
    477,352,161/713,088,400.50 = 713,088,400.50/x
  3. Step 3: Cross multiply
    477,352,161x = 713,088,400.50 × 713,088,400.50
  4. Step 4: Simplify right side
    477,352,161x = 508,495,066,927,648,384
  5. Step 5: Solve for x
    x = 508,495,066,927,648,384/477,352,161
  6. Step 6: Final answer
    x = 1,065,240,944.68

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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.