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Finding the Third Proportional to 967,579,506 and 1,494,143,752.50

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Solution

The third proportional to 967,579,506 and 1,494,143,752.50 is: 2,307,268,332.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,579,506 : 1,494,143,752.50 = 1,494,143,752.50 : x
  2. Step 2: Convert to fraction form
    967,579,506/1,494,143,752.50 = 1,494,143,752.50/x
  3. Step 3: Cross multiply
    967,579,506x = 1,494,143,752.50 × 1,494,143,752.50
  4. Step 4: Simplify right side
    967,579,506x = 2,232,465,553,134,781,184
  5. Step 5: Solve for x
    x = 2,232,465,553,134,781,184/967,579,506
  6. Step 6: Final answer
    x = 2,307,268,332.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.