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Finding the Third Proportional to 11,564,147,333 and 15,602,750,020.50

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Solution

The third proportional to 11,564,147,333 and 15,602,750,020.50 is: 21,051,773,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564,147,333 : 15,602,750,020.50 = 15,602,750,020.50 : x
  2. Step 2: Convert to fraction form
    11,564,147,333/15,602,750,020.50 = 15,602,750,020.50/x
  3. Step 3: Cross multiply
    11,564,147,333x = 15,602,750,020.50 × 15,602,750,020.50
  4. Step 4: Simplify right side
    11,564,147,333x = 243,445,808,202,212,737,024
  5. Step 5: Solve for x
    x = 243,445,808,202,212,737,024/11,564,147,333
  6. Step 6: Final answer
    x = 21,051,773,312.11

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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.