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Finding the Third Proportional to 6,746,627.63 and 9,866,913.19

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Solution

The third proportional to 6,746,627.63 and 9,866,913.19 is: 14,430,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746,627.63 : 9,866,913.19 = 9,866,913.19 : x
  2. Step 2: Convert to fraction form
    6,746,627.63/9,866,913.19 = 9,866,913.19/x
  3. Step 3: Cross multiply
    6,746,627.63x = 9,866,913.19 × 9,866,913.19
  4. Step 4: Simplify right side
    6,746,627.63x = 97,355,975,849,661.41
  5. Step 5: Solve for x
    x = 97,355,975,849,661.41/6,746,627.63
  6. Step 6: Final answer
    x = 14,430,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.