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Finding the Third Proportional to 340,779,312 and 746,039,808

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Solution

The third proportional to 340,779,312 and 746,039,808 is: 1,633,242,909.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,779,312 : 746,039,808 = 746,039,808 : x
  2. Step 2: Convert to fraction form
    340,779,312/746,039,808 = 746,039,808/x
  3. Step 3: Cross multiply
    340,779,312x = 746,039,808 × 746,039,808
  4. Step 4: Simplify right side
    340,779,312x = 556,575,395,120,676,864
  5. Step 5: Solve for x
    x = 556,575,395,120,676,864/340,779,312
  6. Step 6: Final answer
    x = 1,633,242,909.77

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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.