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Finding the Third Proportional to 9,819,368,764 and 21,539,817,890

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Solution

The third proportional to 9,819,368,764 and 21,539,817,890 is: 47,249,855,452.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819,368,764 : 21,539,817,890 = 21,539,817,890 : x
  2. Step 2: Convert to fraction form
    9,819,368,764/21,539,817,890 = 21,539,817,890/x
  3. Step 3: Cross multiply
    9,819,368,764x = 21,539,817,890 × 21,539,817,890
  4. Step 4: Simplify right side
    9,819,368,764x = 463,963,754,734,364,065,792
  5. Step 5: Solve for x
    x = 463,963,754,734,364,065,792/9,819,368,764
  6. Step 6: Final answer
    x = 47,249,855,452.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.