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Finding the Third Proportional to 926,488,534.50 and 1,411,441,238.25

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Solution

The third proportional to 926,488,534.50 and 1,411,441,238.25 is: 2,150,233,159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926,488,534.50 : 1,411,441,238.25 = 1,411,441,238.25 : x
  2. Step 2: Convert to fraction form
    926,488,534.50/1,411,441,238.25 = 1,411,441,238.25/x
  3. Step 3: Cross multiply
    926,488,534.50x = 1,411,441,238.25 × 1,411,441,238.25
  4. Step 4: Simplify right side
    926,488,534.50x = 1,992,166,369,032,693,248
  5. Step 5: Solve for x
    x = 1,992,166,369,032,693,248/926,488,534.50
  6. Step 6: Final answer
    x = 2,150,233,159.77

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.