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Finding the Third Proportional to 253,779,388,983 and 383,938,375,646.25

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Solution

The third proportional to 253,779,388,983 and 383,938,375,646.25 is: 580,853,618,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,779,388,983 : 383,938,375,646.25 = 383,938,375,646.25 : x
  2. Step 2: Convert to fraction form
    253,779,388,983/383,938,375,646.25 = 383,938,375,646.25/x
  3. Step 3: Cross multiply
    253,779,388,983x = 383,938,375,646.25 × 383,938,375,646.25
  4. Step 4: Simplify right side
    253,779,388,983x = 147,408,676,293,880,982,798,336
  5. Step 5: Solve for x
    x = 147,408,676,293,880,982,798,336/253,779,388,983
  6. Step 6: Final answer
    x = 580,853,618,115.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.