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Finding the Third Proportional to 1,317,506,296.50 and 1,756,479,060

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Solution

The third proportional to 1,317,506,296.50 and 1,756,479,060 is: 2,341,710,773.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317,506,296.50 : 1,756,479,060 = 1,756,479,060 : x
  2. Step 2: Convert to fraction form
    1,317,506,296.50/1,756,479,060 = 1,756,479,060/x
  3. Step 3: Cross multiply
    1,317,506,296.50x = 1,756,479,060 × 1,756,479,060
  4. Step 4: Simplify right side
    1,317,506,296.50x = 3,085,218,688,218,483,712
  5. Step 5: Solve for x
    x = 3,085,218,688,218,483,712/1,317,506,296.50
  6. Step 6: Final answer
    x = 2,341,710,773.16

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.