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Finding the Third Proportional to 29,829,522 and 46,063,017

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Solution

The third proportional to 29,829,522 and 46,063,017 is: 71,130,926.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,829,522 : 46,063,017 = 46,063,017 : x
  2. Step 2: Convert to fraction form
    29,829,522/46,063,017 = 46,063,017/x
  3. Step 3: Cross multiply
    29,829,522x = 46,063,017 × 46,063,017
  4. Step 4: Simplify right side
    29,829,522x = 2,121,801,535,142,289
  5. Step 5: Solve for x
    x = 2,121,801,535,142,289/29,829,522
  6. Step 6: Final answer
    x = 71,130,926.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.