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Finding the Third Proportional to 2,050,506,282 and 4,473,581,318

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Solution

The third proportional to 2,050,506,282 and 4,473,581,318 is: 9,759,994,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050,506,282 : 4,473,581,318 = 4,473,581,318 : x
  2. Step 2: Convert to fraction form
    2,050,506,282/4,473,581,318 = 4,473,581,318/x
  3. Step 3: Cross multiply
    2,050,506,282x = 4,473,581,318 × 4,473,581,318
  4. Step 4: Simplify right side
    2,050,506,282x = 20,012,929,808,758,616,064
  5. Step 5: Solve for x
    x = 20,012,929,808,758,616,064/2,050,506,282
  6. Step 6: Final answer
    x = 9,759,994,389.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.