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Finding the Third Proportional to 1,992,846,547 and 4,281,437,931

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Solution

The third proportional to 1,992,846,547 and 4,281,437,931 is: 9,198,255,020.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,846,547 : 4,281,437,931 = 4,281,437,931 : x
  2. Step 2: Convert to fraction form
    1,992,846,547/4,281,437,931 = 4,281,437,931/x
  3. Step 3: Cross multiply
    1,992,846,547x = 4,281,437,931 × 4,281,437,931
  4. Step 4: Simplify right side
    1,992,846,547x = 18,330,710,757,005,559,808
  5. Step 5: Solve for x
    x = 18,330,710,757,005,559,808/1,992,846,547
  6. Step 6: Final answer
    x = 9,198,255,020.99

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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.