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Finding the Third Proportional to 6,500,925.84 and 9,730,168.03

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Solution

The third proportional to 6,500,925.84 and 9,730,168.03 is: 14,563,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500,925.84 : 9,730,168.03 = 9,730,168.03 : x
  2. Step 2: Convert to fraction form
    6,500,925.84/9,730,168.03 = 9,730,168.03/x
  3. Step 3: Cross multiply
    6,500,925.84x = 9,730,168.03 × 9,730,168.03
  4. Step 4: Simplify right side
    6,500,925.84x = 94,676,169,916,359.50
  5. Step 5: Solve for x
    x = 94,676,169,916,359.50/6,500,925.84
  6. Step 6: Final answer
    x = 14,563,490.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.