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Finding the Third Proportional to 19,909,507,259.25 and 42,658,833,853.12

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Solution

The third proportional to 19,909,507,259.25 and 42,658,833,853.12 is: 91,402,367,824.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,909,507,259.25 : 42,658,833,853.12 = 42,658,833,853.12 : x
  2. Step 2: Convert to fraction form
    19,909,507,259.25/42,658,833,853.12 = 42,658,833,853.12/x
  3. Step 3: Cross multiply
    19,909,507,259.25x = 42,658,833,853.12 × 42,658,833,853.12
  4. Step 4: Simplify right side
    19,909,507,259.25x = 1,819,776,105,708,438,159,360
  5. Step 5: Solve for x
    x = 1,819,776,105,708,438,159,360/19,909,507,259.25
  6. Step 6: Final answer
    x = 91,402,367,824.19

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