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Finding the Third Proportional to 30,497,155 and 46,460,464

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Solution

The third proportional to 30,497,155 and 46,460,464 is: 70,779,543.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497,155 : 46,460,464 = 46,460,464 : x
  2. Step 2: Convert to fraction form
    30,497,155/46,460,464 = 46,460,464/x
  3. Step 3: Cross multiply
    30,497,155x = 46,460,464 × 46,460,464
  4. Step 4: Simplify right side
    30,497,155x = 2,158,574,715,095,296
  5. Step 5: Solve for x
    x = 2,158,574,715,095,296/30,497,155
  6. Step 6: Final answer
    x = 70,779,543.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.