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Finding the Third Proportional to 2,952,229,730.63 and 6,506,217,918

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Solution

The third proportional to 2,952,229,730.63 and 6,506,217,918 is: 14,338,610,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952,229,730.63 : 6,506,217,918 = 6,506,217,918 : x
  2. Step 2: Convert to fraction form
    2,952,229,730.63/6,506,217,918 = 6,506,217,918/x
  3. Step 3: Cross multiply
    2,952,229,730.63x = 6,506,217,918 × 6,506,217,918
  4. Step 4: Simplify right side
    2,952,229,730.63x = 42,330,871,596,504,252,416
  5. Step 5: Solve for x
    x = 42,330,871,596,504,252,416/2,952,229,730.63
  6. Step 6: Final answer
    x = 14,338,610,290.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.