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Finding the Third Proportional to 334,788,963 and 709,404,651

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Solution

The third proportional to 334,788,963 and 709,404,651 is: 1,503,200,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,788,963 : 709,404,651 = 709,404,651 : x
  2. Step 2: Convert to fraction form
    334,788,963/709,404,651 = 709,404,651/x
  3. Step 3: Cross multiply
    334,788,963x = 709,404,651 × 709,404,651
  4. Step 4: Simplify right side
    334,788,963x = 503,254,958,860,431,808
  5. Step 5: Solve for x
    x = 503,254,958,860,431,808/334,788,963
  6. Step 6: Final answer
    x = 1,503,200,566.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.