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Finding the Third Proportional to 19,772,066,948 and 29,841,973,680

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Solution

The third proportional to 19,772,066,948 and 29,841,973,680 is: 45,040,480,363.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772,066,948 : 29,841,973,680 = 29,841,973,680 : x
  2. Step 2: Convert to fraction form
    19,772,066,948/29,841,973,680 = 29,841,973,680/x
  3. Step 3: Cross multiply
    19,772,066,948x = 29,841,973,680 × 29,841,973,680
  4. Step 4: Simplify right side
    19,772,066,948x = 890,543,393,117,812,686,848
  5. Step 5: Solve for x
    x = 890,543,393,117,812,686,848/19,772,066,948
  6. Step 6: Final answer
    x = 45,040,480,363.53

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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.