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Finding the Third Proportional to 29,291,275,873.88 and 63,575,971,386

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Solution

The third proportional to 29,291,275,873.88 and 63,575,971,386 is: 137,990,033,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,291,275,873.88 : 63,575,971,386 = 63,575,971,386 : x
  2. Step 2: Convert to fraction form
    29,291,275,873.88/63,575,971,386 = 63,575,971,386/x
  3. Step 3: Cross multiply
    29,291,275,873.88x = 63,575,971,386 × 63,575,971,386
  4. Step 4: Simplify right side
    29,291,275,873.88x = 4,041,904,137,673,490,563,072
  5. Step 5: Solve for x
    x = 4,041,904,137,673,490,563,072/29,291,275,873.88
  6. Step 6: Final answer
    x = 137,990,033,451.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.