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Finding the Third Proportional to 21,008,154,884 and 45,370,595,528

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Solution

The third proportional to 21,008,154,884 and 45,370,595,528 is: 97,985,327,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,008,154,884 : 45,370,595,528 = 45,370,595,528 : x
  2. Step 2: Convert to fraction form
    21,008,154,884/45,370,595,528 = 45,370,595,528/x
  3. Step 3: Cross multiply
    21,008,154,884x = 45,370,595,528 × 45,370,595,528
  4. Step 4: Simplify right side
    21,008,154,884x = 2,058,490,938,565,373,722,624
  5. Step 5: Solve for x
    x = 2,058,490,938,565,373,722,624/21,008,154,884
  6. Step 6: Final answer
    x = 97,985,327,599.29

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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.