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Finding the Third Proportional to 19,909,507,892 and 42,658,835,068

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Solution

The third proportional to 19,909,507,892 and 42,658,835,068 is: 91,402,370,125.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909,507,892 : 42,658,835,068 = 42,658,835,068 : x
  2. Step 2: Convert to fraction form
    19,909,507,892/42,658,835,068 = 42,658,835,068/x
  3. Step 3: Cross multiply
    19,909,507,892x = 42,658,835,068 × 42,658,835,068
  4. Step 4: Simplify right side
    19,909,507,892x = 1,819,776,209,358,826,504,192
  5. Step 5: Solve for x
    x = 1,819,776,209,358,826,504,192/19,909,507,892
  6. Step 6: Final answer
    x = 91,402,370,125.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.