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Finding the Third Proportional to 2,219,497,097.63 and 4,829,715,090

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Solution

The third proportional to 2,219,497,097.63 and 4,829,715,090 is: 10,509,654,585.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219,497,097.63 : 4,829,715,090 = 4,829,715,090 : x
  2. Step 2: Convert to fraction form
    2,219,497,097.63/4,829,715,090 = 4,829,715,090/x
  3. Step 3: Cross multiply
    2,219,497,097.63x = 4,829,715,090 × 4,829,715,090
  4. Step 4: Simplify right side
    2,219,497,097.63x = 23,326,147,850,573,709,312
  5. Step 5: Solve for x
    x = 23,326,147,850,573,709,312/2,219,497,097.63
  6. Step 6: Final answer
    x = 10,509,654,585.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.