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Finding the Third Proportional to 892,506,716 and 1,928,423,764

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Solution

The third proportional to 892,506,716 and 1,928,423,764 is: 4,166,711,742.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,506,716 : 1,928,423,764 = 1,928,423,764 : x
  2. Step 2: Convert to fraction form
    892,506,716/1,928,423,764 = 1,928,423,764/x
  3. Step 3: Cross multiply
    892,506,716x = 1,928,423,764 × 1,928,423,764
  4. Step 4: Simplify right side
    892,506,716x = 3,718,818,213,559,927,808
  5. Step 5: Solve for x
    x = 3,718,818,213,559,927,808/892,506,716
  6. Step 6: Final answer
    x = 4,166,711,742.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.