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Finding the Third Proportional to 4,430,597,506 and 9,454,216,964

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Solution

The third proportional to 4,430,597,506 and 9,454,216,964 is: 20,173,852,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430,597,506 : 9,454,216,964 = 9,454,216,964 : x
  2. Step 2: Convert to fraction form
    4,430,597,506/9,454,216,964 = 9,454,216,964/x
  3. Step 3: Cross multiply
    4,430,597,506x = 9,454,216,964 × 9,454,216,964
  4. Step 4: Simplify right side
    4,430,597,506x = 89,382,218,402,385,379,328
  5. Step 5: Solve for x
    x = 89,382,218,402,385,379,328/4,430,597,506
  6. Step 6: Final answer
    x = 20,173,852,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.