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Finding the Third Proportional to 520,385,495.63 and 1,136,130,460.31

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Solution

The third proportional to 520,385,495.63 and 1,136,130,460.31 is: 2,480,454,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,385,495.63 : 1,136,130,460.31 = 1,136,130,460.31 : x
  2. Step 2: Convert to fraction form
    520,385,495.63/1,136,130,460.31 = 1,136,130,460.31/x
  3. Step 3: Cross multiply
    520,385,495.63x = 1,136,130,460.31 × 1,136,130,460.31
  4. Step 4: Simplify right side
    520,385,495.63x = 1,290,792,422,849,893,120
  5. Step 5: Solve for x
    x = 1,290,792,422,849,893,120/520,385,495.63
  6. Step 6: Final answer
    x = 2,480,454,266.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.