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Finding the Third Proportional to 616,886,656.50 and 1,335,343,425

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Solution

The third proportional to 616,886,656.50 and 1,335,343,425 is: 2,890,550,547.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,886,656.50 : 1,335,343,425 = 1,335,343,425 : x
  2. Step 2: Convert to fraction form
    616,886,656.50/1,335,343,425 = 1,335,343,425/x
  3. Step 3: Cross multiply
    616,886,656.50x = 1,335,343,425 × 1,335,343,425
  4. Step 4: Simplify right side
    616,886,656.50x = 1,783,142,062,690,730,752
  5. Step 5: Solve for x
    x = 1,783,142,062,690,730,752/616,886,656.50
  6. Step 6: Final answer
    x = 2,890,550,547.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.