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Finding the Third Proportional to 892,506,708 and 1,928,423,748

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Solution

The third proportional to 892,506,708 and 1,928,423,748 is: 4,166,711,710.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,506,708 : 1,928,423,748 = 1,928,423,748 : x
  2. Step 2: Convert to fraction form
    892,506,708/1,928,423,748 = 1,928,423,748/x
  3. Step 3: Cross multiply
    892,506,708x = 1,928,423,748 × 1,928,423,748
  4. Step 4: Simplify right side
    892,506,708x = 3,718,818,151,850,367,488
  5. Step 5: Solve for x
    x = 3,718,818,151,850,367,488/892,506,708
  6. Step 6: Final answer
    x = 4,166,711,710.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.