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Finding the Third Proportional to 1,461,549,888 and 3,448,996,164

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Solution

The third proportional to 1,461,549,888 and 3,448,996,164 is: 8,139,013,684.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,549,888 : 3,448,996,164 = 3,448,996,164 : x
  2. Step 2: Convert to fraction form
    1,461,549,888/3,448,996,164 = 3,448,996,164/x
  3. Step 3: Cross multiply
    1,461,549,888x = 3,448,996,164 × 3,448,996,164
  4. Step 4: Simplify right side
    1,461,549,888x = 11,895,574,539,286,714,368
  5. Step 5: Solve for x
    x = 11,895,574,539,286,714,368/1,461,549,888
  6. Step 6: Final answer
    x = 8,139,013,684.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.