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Finding the Third Proportional to 52,038,676,019 and 70,212,391,412

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Solution

The third proportional to 52,038,676,019 and 70,212,391,412 is: 94,733,000,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038,676,019 : 70,212,391,412 = 70,212,391,412 : x
  2. Step 2: Convert to fraction form
    52,038,676,019/70,212,391,412 = 70,212,391,412/x
  3. Step 3: Cross multiply
    52,038,676,019x = 70,212,391,412 × 70,212,391,412
  4. Step 4: Simplify right side
    52,038,676,019x = 4,929,779,907,791,891,202,048
  5. Step 5: Solve for x
    x = 4,929,779,907,791,891,202,048/52,038,676,019
  6. Step 6: Final answer
    x = 94,733,000,239.90

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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.