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Finding the Third Proportional to 9,570,685.13 and 14,710,835.06

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Solution

The third proportional to 9,570,685.13 and 14,710,835.06 is: 22,611,617.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570,685.13 : 14,710,835.06 = 14,710,835.06 : x
  2. Step 2: Convert to fraction form
    9,570,685.13/14,710,835.06 = 14,710,835.06/x
  3. Step 3: Cross multiply
    9,570,685.13x = 14,710,835.06 × 14,710,835.06
  4. Step 4: Simplify right side
    9,570,685.13x = 216,408,668,236,079.38
  5. Step 5: Solve for x
    x = 216,408,668,236,079.38/9,570,685.13
  6. Step 6: Final answer
    x = 22,611,617.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.