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Finding the Third Proportional to 452,586,240 and 977,290,992

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Solution

The third proportional to 452,586,240 and 977,290,992 is: 2,110,310,916.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,586,240 : 977,290,992 = 977,290,992 : x
  2. Step 2: Convert to fraction form
    452,586,240/977,290,992 = 977,290,992/x
  3. Step 3: Cross multiply
    452,586,240x = 977,290,992 × 977,290,992
  4. Step 4: Simplify right side
    452,586,240x = 955,097,683,044,344,064
  5. Step 5: Solve for x
    x = 955,097,683,044,344,064/452,586,240
  6. Step 6: Final answer
    x = 2,110,310,916.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.