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Finding the Third Proportional to 346,488,027,315.75 and 509,352,770,779.88

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Solution

The third proportional to 346,488,027,315.75 and 509,352,770,779.88 is: 748,771,168,548.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,488,027,315.75 : 509,352,770,779.88 = 509,352,770,779.88 : x
  2. Step 2: Convert to fraction form
    346,488,027,315.75/509,352,770,779.88 = 509,352,770,779.88/x
  3. Step 3: Cross multiply
    346,488,027,315.75x = 509,352,770,779.88 × 509,352,770,779.88
  4. Step 4: Simplify right side
    346,488,027,315.75x = 259,440,245,101,140,981,579,776
  5. Step 5: Solve for x
    x = 259,440,245,101,140,981,579,776/346,488,027,315.75
  6. Step 6: Final answer
    x = 748,771,168,548.10

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.