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Finding the Third Proportional to 340,172,596,828.12 and 728,866,169,317.10

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Solution

The third proportional to 340,172,596,828.12 and 728,866,169,317.10 is: 1,561,695,144,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,172,596,828.12 : 728,866,169,317.10 = 728,866,169,317.10 : x
  2. Step 2: Convert to fraction form
    340,172,596,828.12/728,866,169,317.10 = 728,866,169,317.10/x
  3. Step 3: Cross multiply
    340,172,596,828.12x = 728,866,169,317.10 × 728,866,169,317.10
  4. Step 4: Simplify right side
    340,172,596,828.12x = 531,245,892,774,983,425,327,104
  5. Step 5: Solve for x
    x = 531,245,892,774,983,425,327,104/340,172,596,828.12
  6. Step 6: Final answer
    x = 1,561,695,144,548.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.