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Finding the Third Proportional to 1,461,549,894 and 3,448,996,179

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Solution

The third proportional to 1,461,549,894 and 3,448,996,179 is: 8,139,013,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461,549,894 : 3,448,996,179 = 3,448,996,179 : x
  2. Step 2: Convert to fraction form
    1,461,549,894/3,448,996,179 = 3,448,996,179/x
  3. Step 3: Cross multiply
    1,461,549,894x = 3,448,996,179 × 3,448,996,179
  4. Step 4: Simplify right side
    1,461,549,894x = 11,895,574,642,756,599,808
  5. Step 5: Solve for x
    x = 11,895,574,642,756,599,808/1,461,549,894
  6. Step 6: Final answer
    x = 8,139,013,722.07

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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.