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Finding the Third Proportional to 52,038,676,021 and 70,212,391,415

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Solution

The third proportional to 52,038,676,021 and 70,212,391,415 is: 94,733,000,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038,676,021 : 70,212,391,415 = 70,212,391,415 : x
  2. Step 2: Convert to fraction form
    52,038,676,021/70,212,391,415 = 70,212,391,415/x
  3. Step 3: Cross multiply
    52,038,676,021x = 70,212,391,415 × 70,212,391,415
  4. Step 4: Simplify right side
    52,038,676,021x = 4,929,779,908,213,166,047,232
  5. Step 5: Solve for x
    x = 4,929,779,908,213,166,047,232/52,038,676,021
  6. Step 6: Final answer
    x = 94,733,000,244.35

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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.