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Finding the Third Proportional to 4,216,154,068.50 and 9,158,103,999

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Solution

The third proportional to 4,216,154,068.50 and 9,158,103,999 is: 19,892,742,886.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216,154,068.50 : 9,158,103,999 = 9,158,103,999 : x
  2. Step 2: Convert to fraction form
    4,216,154,068.50/9,158,103,999 = 9,158,103,999/x
  3. Step 3: Cross multiply
    4,216,154,068.50x = 9,158,103,999 × 9,158,103,999
  4. Step 4: Simplify right side
    4,216,154,068.50x = 83,870,868,856,499,798,016
  5. Step 5: Solve for x
    x = 83,870,868,856,499,798,016/4,216,154,068.50
  6. Step 6: Final answer
    x = 19,892,742,886.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.