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Finding the Third Proportional to 1,402,307,466 and 2,999,135,316

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Solution

The third proportional to 1,402,307,466 and 2,999,135,316 is: 6,414,294,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,307,466 : 2,999,135,316 = 2,999,135,316 : x
  2. Step 2: Convert to fraction form
    1,402,307,466/2,999,135,316 = 2,999,135,316/x
  3. Step 3: Cross multiply
    1,402,307,466x = 2,999,135,316 × 2,999,135,316
  4. Step 4: Simplify right side
    1,402,307,466x = 8,994,812,643,678,419,968
  5. Step 5: Solve for x
    x = 8,994,812,643,678,419,968/1,402,307,466
  6. Step 6: Final answer
    x = 6,414,294,198.50

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