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Finding the Third Proportional to 20,554,613,082 and 32,706,430,128

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Solution

The third proportional to 20,554,613,082 and 32,706,430,128 is: 52,042,359,904.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,554,613,082 : 32,706,430,128 = 32,706,430,128 : x
  2. Step 2: Convert to fraction form
    20,554,613,082/32,706,430,128 = 32,706,430,128/x
  3. Step 3: Cross multiply
    20,554,613,082x = 32,706,430,128 × 32,706,430,128
  4. Step 4: Simplify right side
    20,554,613,082x = 1,069,710,571,717,746,098,176
  5. Step 5: Solve for x
    x = 1,069,710,571,717,746,098,176/20,554,613,082
  6. Step 6: Final answer
    x = 52,042,359,904.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.