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Finding the Third Proportional to 5,710,712 and 7,830,468

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Solution

The third proportional to 5,710,712 and 7,830,468 is: 10,737,055.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710,712 : 7,830,468 = 7,830,468 : x
  2. Step 2: Convert to fraction form
    5,710,712/7,830,468 = 7,830,468/x
  3. Step 3: Cross multiply
    5,710,712x = 7,830,468 × 7,830,468
  4. Step 4: Simplify right side
    5,710,712x = 61,316,229,099,024
  5. Step 5: Solve for x
    x = 61,316,229,099,024/5,710,712
  6. Step 6: Final answer
    x = 10,737,055.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.