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Finding the Third Proportional to 527,574,528 and 776,016,432.50

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Solution

The third proportional to 527,574,528 and 776,016,432.50 is: 1,141,452,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,574,528 : 776,016,432.50 = 776,016,432.50 : x
  2. Step 2: Convert to fraction form
    527,574,528/776,016,432.50 = 776,016,432.50/x
  3. Step 3: Cross multiply
    527,574,528x = 776,016,432.50 × 776,016,432.50
  4. Step 4: Simplify right side
    527,574,528x = 602,201,503,510,027,008
  5. Step 5: Solve for x
    x = 602,201,503,510,027,008/527,574,528
  6. Step 6: Final answer
    x = 1,141,452,954.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.