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Finding the Third Proportional to 21,008,154,886 and 45,370,595,532

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Solution

The third proportional to 21,008,154,886 and 45,370,595,532 is: 97,985,327,607.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008,154,886 : 45,370,595,532 = 45,370,595,532 : x
  2. Step 2: Convert to fraction form
    21,008,154,886/45,370,595,532 = 45,370,595,532/x
  3. Step 3: Cross multiply
    21,008,154,886x = 45,370,595,532 × 45,370,595,532
  4. Step 4: Simplify right side
    21,008,154,886x = 2,058,490,938,928,338,305,024
  5. Step 5: Solve for x
    x = 2,058,490,938,928,338,305,024/21,008,154,886
  6. Step 6: Final answer
    x = 97,985,327,607.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.