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Finding the Third Proportional to 70,967,569,807.50 and 152,698,682,035

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Solution

The third proportional to 70,967,569,807.50 and 152,698,682,035 is: 328,556,938,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,967,569,807.50 : 152,698,682,035 = 152,698,682,035 : x
  2. Step 2: Convert to fraction form
    70,967,569,807.50/152,698,682,035 = 152,698,682,035/x
  3. Step 3: Cross multiply
    70,967,569,807.50x = 152,698,682,035 × 152,698,682,035
  4. Step 4: Simplify right side
    70,967,569,807.50x = 23,316,887,495,226,031,079,424
  5. Step 5: Solve for x
    x = 23,316,887,495,226,031,079,424/70,967,569,807.50
  6. Step 6: Final answer
    x = 328,556,938,873.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.