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Finding the Third Proportional to 1,342,356,466 and 3,164,307,454

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Solution

The third proportional to 1,342,356,466 and 3,164,307,454 is: 7,459,152,555.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,356,466 : 3,164,307,454 = 3,164,307,454 : x
  2. Step 2: Convert to fraction form
    1,342,356,466/3,164,307,454 = 3,164,307,454/x
  3. Step 3: Cross multiply
    1,342,356,466x = 3,164,307,454 × 3,164,307,454
  4. Step 4: Simplify right side
    1,342,356,466x = 10,012,841,663,439,962,112
  5. Step 5: Solve for x
    x = 10,012,841,663,439,962,112/1,342,356,466
  6. Step 6: Final answer
    x = 7,459,152,555.26

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.