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Finding the Third Proportional to 9,829,666,300 and 21,662,931,610

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Solution

The third proportional to 9,829,666,300 and 21,662,931,610 is: 47,741,458,521.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829,666,300 : 21,662,931,610 = 21,662,931,610 : x
  2. Step 2: Convert to fraction form
    9,829,666,300/21,662,931,610 = 21,662,931,610/x
  3. Step 3: Cross multiply
    9,829,666,300x = 21,662,931,610 × 21,662,931,610
  4. Step 4: Simplify right side
    9,829,666,300x = 469,282,605,939,537,215,488
  5. Step 5: Solve for x
    x = 469,282,605,939,537,215,488/9,829,666,300
  6. Step 6: Final answer
    x = 47,741,458,521.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.