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Finding the Third Proportional to 56,403,470,940 and 85,330,632,330

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Solution

The third proportional to 56,403,470,940 and 85,330,632,330 is: 129,093,417,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,403,470,940 : 85,330,632,330 = 85,330,632,330 : x
  2. Step 2: Convert to fraction form
    56,403,470,940/85,330,632,330 = 85,330,632,330/x
  3. Step 3: Cross multiply
    56,403,470,940x = 85,330,632,330 × 85,330,632,330
  4. Step 4: Simplify right side
    56,403,470,940x = 7,281,316,813,837,641,449,472
  5. Step 5: Solve for x
    x = 7,281,316,813,837,641,449,472/56,403,470,940
  6. Step 6: Final answer
    x = 129,093,417,346.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.