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Finding the Third Proportional to 11,564,147,338 and 15,602,750,026

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Solution

The third proportional to 11,564,147,338 and 15,602,750,026 is: 21,051,773,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564,147,338 : 15,602,750,026 = 15,602,750,026 : x
  2. Step 2: Convert to fraction form
    11,564,147,338/15,602,750,026 = 15,602,750,026/x
  3. Step 3: Cross multiply
    11,564,147,338x = 15,602,750,026 × 15,602,750,026
  4. Step 4: Simplify right side
    11,564,147,338x = 243,445,808,373,843,001,344
  5. Step 5: Solve for x
    x = 243,445,808,373,843,001,344/11,564,147,338
  6. Step 6: Final answer
    x = 21,051,773,317.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.