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Finding the Third Proportional to 6,564,506 and 10,547,403

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Solution

The third proportional to 6,564,506 and 10,547,403 is: 16,946,851.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564,506 : 10,547,403 = 10,547,403 : x
  2. Step 2: Convert to fraction form
    6,564,506/10,547,403 = 10,547,403/x
  3. Step 3: Cross multiply
    6,564,506x = 10,547,403 × 10,547,403
  4. Step 4: Simplify right side
    6,564,506x = 111,247,710,044,409
  5. Step 5: Solve for x
    x = 111,247,710,044,409/6,564,506
  6. Step 6: Final answer
    x = 16,946,851.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.