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Finding the Third Proportional to 3,102,002,251,638.90 and 6,788,353,730,432.40

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Solution

The third proportional to 3,102,002,251,638.90 and 6,788,353,730,432.40 is: 14,855,484,500,415.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102,002,251,638.90 : 6,788,353,730,432.40 = 6,788,353,730,432.40 : x
  2. Step 2: Convert to fraction form
    3,102,002,251,638.90/6,788,353,730,432.40 = 6,788,353,730,432.40/x
  3. Step 3: Cross multiply
    3,102,002,251,638.90x = 6,788,353,730,432.40 × 6,788,353,730,432.40
  4. Step 4: Simplify right side
    3,102,002,251,638.90x = 46,081,746,369,475,488,679,723,008
  5. Step 5: Solve for x
    x = 46,081,746,369,475,488,679,723,008/3,102,002,251,638.90
  6. Step 6: Final answer
    x = 14,855,484,500,415.45

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.