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Finding the Third Proportional to 21,532,086,364,692 and 46,329,911,229,552

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Solution

The third proportional to 21,532,086,364,692 and 46,329,911,229,552 is: 99,686,609,006,821.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,532,086,364,692 : 46,329,911,229,552 = 46,329,911,229,552 : x
  2. Step 2: Convert to fraction form
    21,532,086,364,692/46,329,911,229,552 = 46,329,911,229,552/x
  3. Step 3: Cross multiply
    21,532,086,364,692x = 46,329,911,229,552 × 46,329,911,229,552
  4. Step 4: Simplify right side
    21,532,086,364,692x = 2,146,460,674,538,168,566,058,844,160
  5. Step 5: Solve for x
    x = 2,146,460,674,538,168,566,058,844,160/21,532,086,364,692
  6. Step 6: Final answer
    x = 99,686,609,006,821.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.