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Finding the Third Proportional to 972,915,376 and 1,507,750,964

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Solution

The third proportional to 972,915,376 and 1,507,750,964 is: 2,336,598,871.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    972,915,376 : 1,507,750,964 = 1,507,750,964 : x
  2. Step 2: Convert to fraction form
    972,915,376/1,507,750,964 = 1,507,750,964/x
  3. Step 3: Cross multiply
    972,915,376x = 1,507,750,964 × 1,507,750,964
  4. Step 4: Simplify right side
    972,915,376x = 2,273,312,969,442,929,408
  5. Step 5: Solve for x
    x = 2,273,312,969,442,929,408/972,915,376
  6. Step 6: Final answer
    x = 2,336,598,871.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.