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Finding the Third Proportional to 9,506,952 and 14,050,762.50

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Solution

The third proportional to 9,506,952 and 14,050,762.50 is: 20,766,269.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506,952 : 14,050,762.50 = 14,050,762.50 : x
  2. Step 2: Convert to fraction form
    9,506,952/14,050,762.50 = 14,050,762.50/x
  3. Step 3: Cross multiply
    9,506,952x = 14,050,762.50 × 14,050,762.50
  4. Step 4: Simplify right side
    9,506,952x = 197,423,926,831,406.25
  5. Step 5: Solve for x
    x = 197,423,926,831,406.25/9,506,952
  6. Step 6: Final answer
    x = 20,766,269.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.