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Finding the Third Proportional to 29,864,261,835 and 63,988,252,596

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Solution

The third proportional to 29,864,261,835 and 63,988,252,596 is: 137,103,555,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,864,261,835 : 63,988,252,596 = 63,988,252,596 : x
  2. Step 2: Convert to fraction form
    29,864,261,835/63,988,252,596 = 63,988,252,596/x
  3. Step 3: Cross multiply
    29,864,261,835x = 63,988,252,596 × 63,988,252,596
  4. Step 4: Simplify right side
    29,864,261,835x = 4,094,496,470,289,500,602,368
  5. Step 5: Solve for x
    x = 4,094,496,470,289,500,602,368/29,864,261,835
  6. Step 6: Final answer
    x = 137,103,555,176.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.