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Finding the Third Proportional to 652,590,518.06 and 1,035,049,076.16

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Solution

The third proportional to 652,590,518.06 and 1,035,049,076.16 is: 1,641,652,093.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,590,518.06 : 1,035,049,076.16 = 1,035,049,076.16 : x
  2. Step 2: Convert to fraction form
    652,590,518.06/1,035,049,076.16 = 1,035,049,076.16/x
  3. Step 3: Cross multiply
    652,590,518.06x = 1,035,049,076.16 × 1,035,049,076.16
  4. Step 4: Simplify right side
    652,590,518.06x = 1,071,326,590,051,803,264
  5. Step 5: Solve for x
    x = 1,071,326,590,051,803,264/652,590,518.06
  6. Step 6: Final answer
    x = 1,641,652,093.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.