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Finding the Third Proportional to 4,830,834,248 and 10,566,139,768

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Solution

The third proportional to 4,830,834,248 and 10,566,139,768 is: 23,110,565,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830,834,248 : 10,566,139,768 = 10,566,139,768 : x
  2. Step 2: Convert to fraction form
    4,830,834,248/10,566,139,768 = 10,566,139,768/x
  3. Step 3: Cross multiply
    4,830,834,248x = 10,566,139,768 × 10,566,139,768
  4. Step 4: Simplify right side
    4,830,834,248x = 111,643,309,596,911,091,712
  5. Step 5: Solve for x
    x = 111,643,309,596,911,091,712/4,830,834,248
  6. Step 6: Final answer
    x = 23,110,565,145.79

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Why These Related Problems?

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