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Finding the Third Proportional to 30,545,724,597 and 65,759,786,769

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Solution

The third proportional to 30,545,724,597 and 65,759,786,769 is: 141,569,715,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,545,724,597 : 65,759,786,769 = 65,759,786,769 : x
  2. Step 2: Convert to fraction form
    30,545,724,597/65,759,786,769 = 65,759,786,769/x
  3. Step 3: Cross multiply
    30,545,724,597x = 65,759,786,769 × 65,759,786,769
  4. Step 4: Simplify right side
    30,545,724,597x = 4,324,349,555,904,347,635,712
  5. Step 5: Solve for x
    x = 4,324,349,555,904,347,635,712/30,545,724,597
  6. Step 6: Final answer
    x = 141,569,715,989.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.