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Finding the Third Proportional to 516,065,362,893 and 717,547,636,548

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Solution

The third proportional to 516,065,362,893 and 717,547,636,548 is: 997,692,633,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,065,362,893 : 717,547,636,548 = 717,547,636,548 : x
  2. Step 2: Convert to fraction form
    516,065,362,893/717,547,636,548 = 717,547,636,548/x
  3. Step 3: Cross multiply
    516,065,362,893x = 717,547,636,548 × 717,547,636,548
  4. Step 4: Simplify right side
    516,065,362,893x = 514,874,610,715,620,712,382,464
  5. Step 5: Solve for x
    x = 514,874,610,715,620,712,382,464/516,065,362,893
  6. Step 6: Final answer
    x = 997,692,633,020.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.